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152131392 = 2633712577
BaseRepresentation
bin10010001000101…
…01011101000000
3101121021002001000
421010111131000
5302421201032
623032412000
73525044520
oct1104253500
9347232030
10152131392
1178968626
1242b47000
132569709a
14162c1680
15d550e7c
hex9115740

152131392 has 112 divisors (see below), whose sum is σ = 511169920. Its totient is φ = 43462656.

The previous prime is 152131381. The next prime is 152131403. The reversal of 152131392 is 293131251.

152131392 is a `hidden beast` number, since 1 + 521 + 3 + 139 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (152131381) and next prime (152131403).

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 5808 + ... + 18384.

Almost surely, 2152131392 is an apocalyptic number.

152131392 is a gapful number since it is divisible by the number (12) 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 152131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255584960).

152131392 is an abundant number, since it is smaller than the sum of its proper divisors (359038528).

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

152131392 is a wasteful number, since it uses less digits than its factorization.

152131392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12605 (or 12589 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 152131392 is about 12334.1555041276. The cubic root of 152131392 is about 533.8340602944.

The spelling of 152131392 in words is "one hundred fifty-two million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 12577 25154 37731 50308 75462 88039 100616 113193 150924 176078 201232 226386 264117 301848 339579 352156 402464 452772 528234 603696 679158 704312 792351 804928 905544 1056468 1207392 1358316 1408624 1584702 1811088 2112936 2377053 2414784 2716632 2817248 3169404 3622176 4225872 4754106 5433264 5634496 6338808 7244352 8451744 9508212 10866528 12677616 16903488 19016424 21733056 25355232 38032848 50710464 76065696 152131392