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157450048 = 2672912119
BaseRepresentation
bin10010110001001…
…11111101000000
3101222021021212021
421120213331000
5310301400143
623342411224
73621206020
oct1130477500
9358237767
10157450048
1180970608
1244890b14
1326809c12
1416ca7a80
15dc51ced
hex9627f40

157450048 has 56 divisors (see below), whose sum is σ = 369417600. Its totient is φ = 65146368.

The previous prime is 157450043. The next prime is 157450057. The reversal of 157450048 is 840054751.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157449995 and 157450022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157450043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6933 + ... + 19051.

Almost surely, 2157450048 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 157450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184708800).

157450048 is an abundant number, since it is smaller than the sum of its proper divisors (211967552).

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

157450048 is a wasteful number, since it uses less digits than its factorization.

157450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12167 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 157450048 is about 12547.9101048740. The cubic root of 157450048 is about 539.9840507406.

The spelling of 157450048 in words is "one hundred fifty-seven million, four hundred fifty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12119 12992 24238 48476 84833 96952 169666 193904 339332 351451 387808 678664 702902 775616 1357328 1405804 2460157 2714656 2811608 4920314 5429312 5623216 9840628 11246432 19681256 22492864 39362512 78725024 157450048