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152341632 = 2732132241
BaseRepresentation
bin10010001010010…
…00110010000000
3101121122202102200
421011020302000
5302444413012
623041113200
73526611462
oct1105106200
9347582380
10152341632
1178aa1583
1243028800
132573b9a1
1416338132
15d5933dc
hex9148c80

152341632 has 48 divisors (see below), whose sum is σ = 438382230. Its totient is φ = 50780160.

The previous prime is 152341613. The next prime is 152341649. The reversal of 152341632 is 236143251.

152341632 is a `hidden beast` number, since 1 + 5 + 23 + 4 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126697536 + 25644096 = 11256^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 152341596 and 152341605.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64969 + ... + 67272.

Almost surely, 2152341632 is an apocalyptic number.

152341632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152341632 is an abundant number, since it is smaller than the sum of its proper divisors (286040598).

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

152341632 is a wasteful number, since it uses less digits than its factorization.

152341632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132261 (or 132246 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 152341632 is about 12342.6752367548. The cubic root of 152341632 is about 534.0798601263.

Adding to 152341632 its reverse (236143251), we get a palindrome (388484883).

The spelling of 152341632 in words is "one hundred fifty-two million, three hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 132241 264482 396723 528964 793446 1057928 1190169 1586892 2115856 2380338 3173784 4231712 4760676 6347568 8463424 9521352 12695136 16926848 19042704 25390272 38085408 50780544 76170816 152341632