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152874064 = 2471724723
BaseRepresentation
bin10010001110010…
…10110001010000
3101122122210210101
421013022301100
5303113432224
623100342144
73534256660
oct1107126120
9348583711
10152874064
1179325602
1243244954
1325897135
14164361a0
15d64b044
hex91cac50

152874064 has 60 divisors (see below), whose sum is σ = 359666464. Its totient is φ = 61650432.

The previous prime is 152874049. The next prime is 152874083. The reversal of 152874064 is 460478251.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30007 + ... + 34729.

Almost surely, 2152874064 is an apocalyptic number.

152874064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152874064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179833232).

152874064 is an abundant number, since it is smaller than the sum of its proper divisors (206792400).

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

152874064 is a wasteful number, since it uses less digits than its factorization.

152874064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 152874064 is about 12364.2251677976. The cubic root of 152874064 is about 534.7013373647.

The spelling of 152874064 in words is "one hundred fifty-two million, eight hundred seventy-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 952 1156 1904 2023 2312 4046 4624 4723 8092 9446 16184 18892 32368 33061 37784 66122 75568 80291 132244 160582 264488 321164 528976 562037 642328 1124074 1284656 1364947 2248148 2729894 4496296 5459788 8992592 9554629 10919576 19109258 21839152 38218516 76437032 152874064