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1157056208 = 247211212197
BaseRepresentation
bin100010011110111…
…0100011011010000
32222122012112201122
41010331310123100
54332201244313
6310451421412
740446546500
oct10475643320
92878175648
101157056208
11544145500
122835b4868
13155939a59
14ad951a00
156b8a6708
hex44f746d0

1157056208 has 90 divisors (see below), whose sum is σ = 2866664178. Its totient is φ = 450764160.

The previous prime is 1157056189. The next prime is 1157056213. The reversal of 1157056208 is 8026507511.

It can be written as a sum of positive squares in only one way, i.e., 1065891904 + 91164304 = 32648^2 + 9548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88766 + ... + 100962.

Almost surely, 21157056208 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 1157056208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433332089).

1157056208 is an abundant number, since it is smaller than the sum of its proper divisors (1709607970).

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

1157056208 is a wasteful number, since it uses less digits than its factorization.

1157056208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12241 (or 12217 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 1157056208 is about 34015.5289243016. The cubic root of 1157056208 is about 1049.8280014564.

The spelling of 1157056208 in words is "one billion, one hundred fifty-seven million, fifty-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 3388 4312 5929 6776 8624 11858 12197 13552 23716 24394 47432 48788 85379 94864 97576 134167 170758 195152 268334 341516 536668 597653 683032 939169 1073336 1195306 1366064 1475837 1878338 2146672 2390612 2951674 3756676 4781224 5903348 6574183 7513352 9562448 10330859 11806696 13148366 15026704 20661718 23613392 26296732 41323436 52593464 72316013 82646872 105186928 144632026 165293744 289264052 578528104 1157056208