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1055299752 = 233413177369
BaseRepresentation
bin111110111001101…
…001100010101000
32201112201210010000
4332321221202220
54130124043002
6252414423000
735102620443
oct7671514250
92645653100
101055299752
114a1764361
12255501a60
1313a82c930
14a022465a
15629a661c
hex3ee698a8

1055299752 has 160 divisors (see below), whose sum is σ = 3370890600. Its totient is φ = 305565696.

The previous prime is 1055299747. The next prime is 1055299757. The reversal of 1055299752 is 2579925501.

1055299752 is a `hidden beast` number, since 1 + 0 + 552 + 9 + 97 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1055299747) and next prime (1055299757).

It can be written as a sum of positive squares in 4 ways, for example, as 1018503396 + 36796356 = 31914^2 + 6066^2 .

It is a super-2 number, since 2×10552997522 = 2227315133142523008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055299698 and 1055299707.

It is not an unprimeable number, because it can be changed into a prime (1055299757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139524 + ... + 146892.

Almost surely, 21055299752 is an apocalyptic number.

1055299752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055299752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685445300).

1055299752 is an abundant number, since it is smaller than the sum of its proper divisors (2315590848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055299752 is a wasteful number, since it uses less digits than its factorization.

1055299752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The square root of 1055299752 is about 32485.3775105046. The cubic root of 1055299752 is about 1018.1035349503.

The spelling of 1055299752 in words is "one billion, fifty-five million, two hundred ninety-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 612 648 663 702 884 918 936 1053 1224 1326 1377 1404 1768 1836 1989 2106 2652 2754 2808 3672 3978 4212 5304 5508 5967 7369 7956 8424 11016 11934 14738 15912 17901 22107 23868 29476 35802 44214 47736 58952 66321 71604 88428 95797 125273 132642 143208 176856 191594 198963 250546 265284 287391 375819 383188 397926 501092 530568 574782 596889 751638 766376 795852 862173 1002184 1127457 1149564 1193778 1503276 1591704 1628549 1724346 2254914 2299128 2387556 2586519 3006552 3257098 3382371 3448692 4509828 4775112 4885647 5173038 6514196 6764742 6897384 7759557 9019656 9771294 10147113 10346076 13028392 13529484 14656941 15519114 19542588 20294226 20692152 27058968 29313882 31038228 39085176 40588452 43970823 58627764 62076456 81176904 87941646 117255528 131912469 175883292 263824938 351766584 527649876 1055299752