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152415054 = 23311594349
BaseRepresentation
bin10010001010110…
…10101101001110
3101121210111011000
421011122231032
5303004240204
623042441130
73530335521
oct1105325516
9347714130
10152415054
1179041760
12430631a6
132576622c
1416356bb8
15d5aa039
hex915ab4e

152415054 has 64 divisors (see below), whose sum is σ = 375840000. Its totient is φ = 45393120.

The previous prime is 152415019. The next prime is 152415071. The reversal of 152415054 is 450514251.

152415054 is a `hidden beast` number, since 152 + 4 + 1 + 505 + 4 = 666.

152415054 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 (27).

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, 32872 + ... + 37220.

It is an arithmetic number, because the mean of its divisors is an integer number (5872500).

Almost surely, 2152415054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152415054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187920000).

152415054 is an abundant number, since it is smaller than the sum of its proper divisors (223424946).

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

152415054 is a wasteful number, since it uses less digits than its factorization.

152415054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 152415054 is about 12345.6491931368. The cubic root of 152415054 is about 534.1656473861.

The spelling of 152415054 in words is "one hundred fifty-two million, four hundred fifteen thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1947 3186 3894 4349 5841 8698 11682 13047 17523 26094 35046 39141 47839 78282 95678 117423 143517 234846 256591 287034 430551 513182 769773 861102 1291653 1539546 2309319 2583306 2822501 4618638 5645002 6927957 8467503 13855914 16935006 25402509 50805018 76207527 152415054