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1157148832 = 25723322171
BaseRepresentation
bin100010011111000…
…1011000010100000
32222122101020210011
41010332023002200
54332212230312
6310453414304
740450413520
oct10476130240
92878336704
101157148832
115441a9054
1228363a394
1315596cc68
14ad977680
156b8c3da7
hex44f8b0a0

1157148832 has 48 divisors (see below), whose sum is σ = 2614876992. Its totient is φ = 493770240.

The previous prime is 1157148829. The next prime is 1157148851. The reversal of 1157148832 is 2388417511.

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, 41107 + ... + 63277.

It is an arithmetic number, because the mean of its divisors is an integer number (54476604).

Almost surely, 21157148832 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 1157148832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307438496).

1157148832 is an abundant number, since it is smaller than the sum of its proper divisors (1457728160).

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

1157148832 is a wasteful number, since it uses less digits than its factorization.

1157148832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22421 (or 22413 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 1157148832 is about 34016.8903928622. The cubic root of 1157148832 is about 1049.8560141186.

The spelling of 1157148832 in words is "one billion, one hundred fifty-seven million, one hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 233 466 932 1631 1864 3262 3728 6524 7456 13048 22171 26096 44342 52192 88684 155197 177368 310394 354736 620788 709472 1241576 2483152 4966304 5165843 10331686 20663372 36160901 41326744 72321802 82653488 144643604 165306976 289287208 578574416 1157148832