Search a number
-
+
1057044096 = 2732917573
BaseRepresentation
bin111111000000010…
…011011010000000
32201200000101220100
4333000103122000
54131100402341
6252520042400
735123504133
oct7700233200
92650011810
101057044096
114a2745969
12256003400
1313acc08a4
14a055a21a
1562bed3b6
hex3f013680

1057044096 has 48 divisors (see below), whose sum is σ = 3041757810. Its totient is φ = 352347648.

The previous prime is 1057044089. The next prime is 1057044101. The reversal of 1057044096 is 6904407501.

It can be written as a sum of positive squares in only one way, i.e., 915909696 + 141134400 = 30264^2 + 11880^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10570440962 = 2234684441776914432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1057044096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 457635 + ... + 459938.

Almost surely, 21057044096 is an apocalyptic number.

1057044096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057044096 is an abundant number, since it is smaller than the sum of its proper divisors (1984713714).

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

1057044096 is an equidigital number, since it uses as much as digits as its factorization.

1057044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917593 (or 917578 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1057044096 is about 32512.2145662211. The cubic root of 1057044096 is about 1018.6641798257.

The spelling of 1057044096 in words is "one billion, fifty-seven million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 917573 1835146 2752719 3670292 5505438 7340584 8258157 11010876 14681168 16516314 22021752 29362336 33032628 44043504 58724672 66065256 88087008 117449344 132130512 176174016 264261024 352348032 528522048 1057044096