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152575164 = 2234767273
BaseRepresentation
bin10010001100000…
…01110010111100
3101122002121210000
421012001302330
5303024401124
623050114300
73531603360
oct1106016274
9348077700
10152575164
1179140a85
124311b990
13257c1081
14163992a0
15d5dc6c9
hex9181cbc

152575164 has 60 divisors (see below), whose sum is σ = 455848624. Its totient is φ = 43592256.

The previous prime is 152575151. The next prime is 152575219. The reversal of 152575164 is 461575251.

152575164 is a `hidden beast` number, since 1 + 525 + 75 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31369 + ... + 35904.

Almost surely, 2152575164 is an apocalyptic number.

152575164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152575164 is an abundant number, since it is smaller than the sum of its proper divisors (303273460).

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

152575164 is a wasteful number, since it uses less digits than its factorization.

152575164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67296 (or 67285 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 152575164 is about 12352.1319617303. The cubic root of 152575164 is about 534.3526265794.

The spelling of 152575164 in words is "one hundred fifty-two million, five hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 67273 134546 201819 269092 403638 470911 605457 807276 941822 1210914 1412733 1816371 1883644 2421828 2825466 3632742 4238199 5449113 5650932 7265484 8476398 10898226 12714597 16952796 21796452 25429194 38143791 50858388 76287582 152575164