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1055552652 = 22327111033697
BaseRepresentation
bin111110111010100…
…111010010001100
32201120012122000200
4332322213102030
54130210141102
6252424053500
735105022660
oct7672472214
92646178020
101055552652
114a1917370
12255604290
1313a8baa8b
14a028c8a0
1562a0651c
hex3eea748c

1055552652 has 144 divisors (see below), whose sum is σ = 3359795712. Its totient is φ = 271434240.

The previous prime is 1055552651. The next prime is 1055552681. The reversal of 1055552652 is 2562555501.

1055552652 is a `hidden beast` number, since 1 + 0 + 55 + 552 + 6 + 52 = 666.

It is a super-2 number, since 2×10555526522 = 2228382802288466208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1055552651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283668 + ... + 287364.

Almost surely, 21055552652 is an apocalyptic number.

1055552652 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 1055552652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679897856).

1055552652 is an abundant number, since it is smaller than the sum of its proper divisors (2304243060).

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

1055552652 is a wasteful number, since it uses less digits than its factorization.

1055552652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 1055552652 is about 32489.2697978887. The cubic root of 1055552652 is about 1018.1848571270.

The spelling of 1055552652 in words is "one billion, fifty-five million, five hundred fifty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 103 126 132 154 198 206 231 252 308 309 396 412 462 618 693 721 924 927 1133 1236 1386 1442 1854 2163 2266 2772 2884 3399 3697 3708 4326 4532 6489 6798 7394 7931 8652 10197 11091 12978 13596 14788 15862 20394 22182 23793 25879 25956 31724 33273 40667 40788 44364 47586 51758 66546 71379 77637 81334 95172 103516 122001 133092 142758 155274 162668 232911 244002 284669 285516 310548 366003 380791 465822 488004 569338 732006 761582 854007 931644 1138676 1142373 1464012 1523164 1708014 2284746 2562021 2665537 3416028 3427119 4188701 4569492 5124042 5331074 6854238 7996611 8377402 10248084 10662148 12566103 13708476 15993222 16754804 23989833 25132206 29320907 31986444 37698309 47979666 50264412 58641814 75396618 87962721 95959332 117283628 150793236 175925442 263888163 351850884 527776326 1055552652