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1052337744 = 2436831087
BaseRepresentation
bin111110101110010…
…110011001010000
32201100011022000000
4332232112121100
54123344301434
6252231130000
735035503033
oct7656263120
92640138000
101052337744
114a0020a17
12254513900
1313a033673
149da9301a
15625bdb99
hex3eb96650

1052337744 has 140 divisors (see below), whose sum is σ = 3096635136. Its totient is φ = 346234176.

The previous prime is 1052337719. The next prime is 1052337763. The reversal of 1052337744 is 4477332501.

It is a super-2 number, since 2×10523377442 = 2214829454894019072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1052337699 and 1052337708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 967569 + ... + 968655.

Almost surely, 21052337744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052337744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548317568).

1052337744 is an abundant number, since it is smaller than the sum of its proper divisors (2044297392).

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

1052337744 is an equidigital number, since it uses as much as digits as its factorization.

1052337744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 1052337744 is about 32439.7556094370. The cubic root of 1052337744 is about 1017.1501070626.

It can be divided in two parts, 105233774 and 4, that added together give a triangular number (105233778 = T14507).

The spelling of 1052337744 in words is "one billion, fifty-two million, three hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 243 249 324 332 432 486 498 648 664 729 747 972 996 1087 1296 1328 1458 1494 1944 1992 2174 2241 2916 2988 3261 3888 3984 4348 4482 5832 5976 6522 6723 8696 8964 9783 11664 11952 13044 13446 17392 17928 19566 20169 26088 26892 29349 35856 39132 40338 52176 53784 58698 60507 78264 80676 88047 90221 107568 117396 121014 156528 161352 176094 180442 234792 242028 264141 270663 322704 352188 360884 469584 484056 528282 541326 704376 721768 792423 811989 968112 1056564 1082652 1408752 1443536 1584846 1623978 2113128 2165304 2435967 3169692 3247956 4226256 4330608 4871934 6339384 6495912 7307901 9743868 12678768 12991824 14615802 19487736 21923703 29231604 38975472 43847406 58463208 65771109 87694812 116926416 131542218 175389624 263084436 350779248 526168872 1052337744