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153955164 = 223114128447
BaseRepresentation
bin10010010110100…
…10101101011100
3101201200201210010
421023102231130
5303403031124
623135443220
73546411606
oct1113225534
9351621703
10153955164
11799a3880
1243686510
1325b8523c
1416638176
15d7b1529
hex92d2b5c

153955164 has 48 divisors (see below), whose sum is σ = 401458176. Its totient is φ = 45513600.

The previous prime is 153955141. The next prime is 153955177. The reversal of 153955164 is 461559351.

It is a happy number.

153955164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 8812 + ... + 19635.

It is an arithmetic number, because the mean of its divisors is an integer number (8363712).

Almost surely, 2153955164 is an apocalyptic number.

It is an amenable number.

153955164 is an abundant number, since it is smaller than the sum of its proper divisors (247503012).

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

153955164 is a wasteful number, since it uses less digits than its factorization.

153955164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28506 (or 28504 counting only the distinct ones).

The product of its digits is 81000, while the sum is 39.

The square root of 153955164 is about 12407.8670205640. The cubic root of 153955164 is about 535.9588174715.

The spelling of 153955164 in words is "one hundred fifty-three million, nine hundred fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 28447 56894 85341 113788 170682 312917 341364 625834 938751 1166327 1251668 1877502 2332654 3498981 3755004 4665308 6997962 12829597 13995924 25659194 38488791 51318388 76977582 153955164