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1055602944 = 28321141651
BaseRepresentation
bin111110111010110…
…011100100000000
32201120022012000100
4332322303210000
54130213243234
6252425122400
735105322414
oct7672634400
92646265010
101055602944
114a1951130
12255629400
1313a907936
14a02a2d44
1562a16399
hex3eeb3900

1055602944 has 108 divisors (see below), whose sum is σ = 3320330832. Its totient is φ = 319872000.

The previous prime is 1055602943. The next prime is 1055603039. The reversal of 1055602944 is 4492065501.

1055602944 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 602 + 9 + 44 = 666.

1055602944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556029442 = 2228595150762934272, 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 = 1055602899 and 1055602908.

It is not an unprimeable number, because it can be changed into a prime (1055602943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4519 + ... + 46169.

It is an arithmetic number, because the mean of its divisors is an integer number (30743804).

Almost surely, 21055602944 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 1055602944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660165416).

1055602944 is an abundant number, since it is smaller than the sum of its proper divisors (2264727888).

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

1055602944 is a wasteful number, since it uses less digits than its factorization.

1055602944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41684 (or 41667 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1055602944 is about 32490.0437672835. The cubic root of 1055602944 is about 1018.2010274051.

The spelling of 1055602944 in words is "one billion, fifty-five million, six hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 41651 83302 124953 166604 249906 333208 374859 458161 499812 666416 749718 916322 999624 1332832 1374483 1499436 1832644 1999248 2665664 2748966 2998872 3665288 3998496 4123449 5331328 5497932 5997744 7330576 7996992 8246898 10662656 10995864 11995488 14661152 15993984 16493796 21991728 23990976 29322304 31987968 32987592 43983456 47981952 58644608 65975184 87966912 95963904 117289216 131950368 175933824 263900736 351867648 527801472 1055602944