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152250921 = 364572
BaseRepresentation
bin10010001001100…
…10101000101001
3101121111011000000
421010302220221
5302434012141
623035133213
73526053144
oct1104625051
9347434000
10152250921
1178a3a409
1242ba4209
1325709604
141631305b
15d5765b6
hex9132a29

152250921 has 21 divisors (see below), whose sum is σ = 228772551. Its totient is φ = 101278512.

The previous prime is 152250913. The next prime is 152250947. The reversal of 152250921 is 129052251.

The square root of 152250921 is 12339.

It is a perfect power (a square), and thus also a powerful number.

152250921 is a `hidden beast` number, since 1 + 522 + 50 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131675625 + 20575296 = 11475^2 + 4536^2 .

It is not a de Polignac number, because 152250921 - 23 = 152250913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152250121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 332925 + ... + 333381.

It is an arithmetic number, because the mean of its divisors is an integer number (10893931).

Almost surely, 2152250921 is an apocalyptic number.

152250921 is the 12339-th square number.

152250921 is the 6170-th centered octagonal number.

It is an amenable number.

152250921 is a deficient number, since it is larger than the sum of its proper divisors (76521630).

152250921 is an frugal number, since it uses more digits than its factorization.

152250921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The cubic root of 152250921 is about 533.9738340922.

The spelling of 152250921 in words is "one hundred fifty-two million, two hundred fifty thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 243 457 729 1371 4113 12339 37017 111051 208849 333153 626547 1879641 5638923 16916769 50750307 152250921