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1055007872 = 2731475657
BaseRepresentation
bin111110111000100…
…010010010000000
32201112011221201122
4332320202102000
54130040222442
6252404251412
735100263462
oct7670422200
92645157648
101055007872
114a1585036
122553a0b68
1313a759b19
14a018a132
1562949dd2
hex3ee22480

1055007872 has 64 divisors (see below), whose sum is σ = 2216125440. Its totient is φ = 499537920.

The previous prime is 1055007829. The next prime is 1055007893. The reversal of 1055007872 is 2787005501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10550078722 = 2226083219963936768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183668 + ... + 189324.

It is an arithmetic number, because the mean of its divisors is an integer number (34626960).

Almost surely, 21055007872 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 1055007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108062720).

1055007872 is an abundant number, since it is smaller than the sum of its proper divisors (1161117568).

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

1055007872 is an equidigital number, since it uses as much as digits as its factorization.

1055007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 1055007872 is about 32480.8847170147. The cubic root of 1055007872 is about 1018.0096622661.

The spelling of 1055007872 in words is "one billion, fifty-five million, seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 376 496 752 992 1457 1504 1984 2914 3008 3968 5657 5828 6016 11314 11656 22628 23312 45256 46624 90512 93248 175367 181024 186496 265879 350734 362048 531758 701468 724096 1063516 1402936 2127032 2805872 4254064 5611744 8242249 8508128 11223488 16484498 17016256 22446976 32968996 34032512 65937992 131875984 263751968 527503936 1055007872