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1057788256 = 2574722269
BaseRepresentation
bin111111000011001…
…001000101100000
32201201102012200211
4333003021011200
54131243211011
6252544023504
735133023530
oct7703110540
92651365624
101057788256
114a3103a78
12256301b94
1313b1c1515
14a06b14c0
1562ce8b21
hex3f0c9160

1057788256 has 24 divisors (see below), whose sum is σ = 2380024080. Its totient is φ = 453337728.

The previous prime is 1057788241. The next prime is 1057788287. The reversal of 1057788256 is 6528877501.

It is a super-2 number, since 2×10577882562 = 2237831989063043072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2360911 + ... + 2361358.

It is an arithmetic number, because the mean of its divisors is an integer number (99167670).

Almost surely, 21057788256 is an apocalyptic number.

1057788256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057788256 is an abundant number, since it is smaller than the sum of its proper divisors (1322235824).

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

1057788256 is an equidigital number, since it uses as much as digits as its factorization.

1057788256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722286 (or 4722278 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

The square root of 1057788256 is about 32523.6568669638. The cubic root of 1057788256 is about 1018.9031705860.

The spelling of 1057788256 in words is "one billion, fifty-seven million, seven hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4722269 9444538 18889076 33055883 37778152 66111766 75556304 132223532 151112608 264447064 528894128 1057788256