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152291934 = 23329791231
BaseRepresentation
bin10010001001111…
…00101001011110
3101121120020021000
421010330221132
5302441320214
623040051130
73526313544
oct1104745136
9347506230
10152291934
1178a68203
1243003aa6
1325722192
1416323d94
15d583809
hex913ca5e

152291934 has 64 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 48353760.

The previous prime is 152291903. The next prime is 152291957. The reversal of 152291934 is 439192251.

152291934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1522919342 = 46385666322920712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123099 + ... + 124329.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2152291934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152291934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177408000).

152291934 is an abundant number, since it is smaller than the sum of its proper divisors (202524066).

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

152291934 is a wasteful number, since it uses less digits than its factorization.

152291934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 152291934 is about 12340.6618136954. The cubic root of 152291934 is about 534.0217766653.

The spelling of 152291934 in words is "one hundred fifty-two million, two hundred ninety-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 79 87 158 174 237 261 474 522 711 783 1231 1422 1566 2133 2291 2462 3693 4266 4582 6873 7386 11079 13746 20619 22158 33237 35699 41238 61857 66474 71398 97249 107097 123714 194498 214194 291747 321291 583494 642582 875241 963873 1750482 1927746 2625723 2820221 5251446 5640442 8460663 16921326 25381989 50763978 76145967 152291934