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157254264 = 2333739973
BaseRepresentation
bin10010101111110…
…00001001111000
3101221220100022000
421113320021320
5310224114024
623334301000
73616432146
oct1127701170
9357810260
10157254264
1180847502
12447b7760
132676ba7b
1416c56596
15dc13cc9
hex95f8278

157254264 has 64 divisors (see below), whose sum is σ = 442845600. Its totient is φ = 51694848.

The previous prime is 157254257. The next prime is 157254281. The reversal of 157254264 is 462452751.

It is a happy number.

157254264 is a `hidden beast` number, since 1 + 57 + 2 + 542 + 64 = 666.

157254264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10782 + ... + 20754.

Almost surely, 2157254264 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 157254264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221422800).

157254264 is an abundant number, since it is smaller than the sum of its proper divisors (285591336).

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

157254264 is a wasteful number, since it uses less digits than its factorization.

157254264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061 (or 10051 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 157254264 is about 12540.1062196458. The cubic root of 157254264 is about 539.7601403874.

The spelling of 157254264 in words is "one hundred fifty-seven million, two hundred fifty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 9973 15768 19946 29919 39892 59838 79784 89757 119676 179514 239352 269271 359028 538542 718056 728029 1077084 1456058 2154168 2184087 2912116 4368174 5824232 6552261 8736348 13104522 17472696 19656783 26209044 39313566 52418088 78627132 157254264