Search a number
-
+
157263264 = 2532546053
BaseRepresentation
bin10010101111110…
…10010110100000
3101221220210122100
421113322112200
5310224411024
623334410400
73616500324
oct1127722640
9357823570
10157263264
1180853244
1244800a00
1326772bb2
1416c59984
15dc167c9
hex95fa5a0

157263264 has 36 divisors (see below), whose sum is σ = 447218226. Its totient is φ = 52420992.

The previous prime is 157263263. The next prime is 157263299. The reversal of 157263264 is 462362751.

157263264 is a `hidden beast` number, since 1 + 572 + 63 + 26 + 4 = 666.

157263264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 157251600 + 11664 = 12540^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (157263263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 272739 + ... + 273314.

Almost surely, 2157263264 is an apocalyptic number.

It is an amenable number.

157263264 is an abundant number, since it is smaller than the sum of its proper divisors (289954962).

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

157263264 is a wasteful number, since it uses less digits than its factorization.

157263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546069 (or 546058 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 157263264 is about 12540.4650631466. The cubic root of 157263264 is about 539.7704374025.

The spelling of 157263264 in words is "one hundred fifty-seven million, two hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 546053 1092106 1638159 2184212 3276318 4368424 4914477 6552636 8736848 9828954 13105272 17473696 19657908 26210544 39315816 52421088 78631632 157263264