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1057156496 = 241110159471
BaseRepresentation
bin111111000000101…
…110110110010000
32201200020010002022
4333000232312100
54131113001441
6252522311012
735124452624
oct7700566620
92650203068
101057156496
114a2812360
12256058468
1313b02cab6
14a0589184
1562c2184b
hex3f02ed90

1057156496 has 40 divisors (see below), whose sum is σ = 2256605568. Its totient is φ = 475760000.

The previous prime is 1057156493. The next prime is 1057156547. The reversal of 1057156496 is 6946517501.

1057156496 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 2×10571564962 = 2235159714069996032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1057156493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11960 + ... + 47511.

Almost surely, 21057156496 is an apocalyptic number.

1057156496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057156496 is an abundant number, since it is smaller than the sum of its proper divisors (1199449072).

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

1057156496 is a wasteful number, since it uses less digits than its factorization.

1057156496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59591 (or 59585 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 1057156496 is about 32513.9431013834. The cubic root of 1057156496 is about 1018.7002848461.

It can be divided in two parts, 105715 and 6496, that added together give a palindrome (112211).

The spelling of 1057156496 in words is "one billion, fifty-seven million, one hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 17776 59471 118942 237884 475768 654181 951536 1308362 2616724 5233448 6006571 10466896 12013142 24026284 48052568 66072281 96105136 132144562 264289124 528578248 1057156496