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157282432 = 2710131213
BaseRepresentation
bin10010101111111…
…11000010000000
3101221221202221021
421113333002000
5310231014212
623335035224
73616610236
oct1127770200
9357852837
10157282432
118086668a
124480bb14
132677b838
1416c62956
15dc1c307
hex95ff080

157282432 has 32 divisors (see below), whose sum is σ = 313903980. Its totient is φ = 78498816.

The previous prime is 157282423. The next prime is 157282451. The reversal of 157282432 is 234282751.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97930816 + 59351616 = 9896^2 + 7704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (26880) is a multiple of the sum of its prime factors (2240).

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, 129058 + ... + 130270.

Almost surely, 2157282432 is an apocalyptic number.

It is an amenable number.

157282432 is a deficient number, since it is larger than the sum of its proper divisors (156621548).

157282432 is a wasteful number, since it uses less digits than its factorization.

157282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2228 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 157282432 is about 12541.2292858396. The cubic root of 157282432 is about 539.7923664472.

The spelling of 157282432 in words is "one hundred fifty-seven million, two hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 1013 1213 2026 2426 4052 4852 8104 9704 16208 19408 32416 38816 64832 77632 129664 155264 1228769 2457538 4915076 9830152 19660304 39320608 78641216 157282432