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152063352 = 23337163617
BaseRepresentation
bin10010001000001…
…00110101111000
3101121010121201000
421010010311320
5302412011402
623031125000
73524342250
oct1104046570
9347117630
10152063352
11789214a1
1242b13760
132567211c
14162a4960
15d53ac1c
hex9104d78

152063352 has 128 divisors (see below), whose sum is σ = 486489600. Its totient is φ = 43110144.

The previous prime is 152063347. The next prime is 152063357. The reversal of 152063352 is 253360251.

152063352 is a `hidden beast` number, since 1 + 5 + 20 + 633 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (152063347) and next prime (152063357).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152063357) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 246148 + ... + 246764.

It is an arithmetic number, because the mean of its divisors is an integer number (3800700).

Almost surely, 2152063352 is an apocalyptic number.

152063352 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 152063352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243244800).

152063352 is an abundant number, since it is smaller than the sum of its proper divisors (334426248).

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

152063352 is a wasteful number, since it uses less digits than its factorization.

152063352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 152063352 is about 12331.3970011512. The cubic root of 152063352 is about 533.7544635605.

The spelling of 152063352 in words is "one hundred fifty-two million, sixty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 163 168 189 216 252 326 378 489 504 617 652 756 978 1141 1234 1304 1467 1512 1851 1956 2282 2468 2934 3423 3702 3912 4319 4401 4564 4936 5553 5868 6846 7404 8638 8802 9128 10269 11106 11736 12957 13692 14808 16659 17276 17604 20538 22212 25914 27384 30807 33318 34552 35208 38871 41076 44424 51828 61614 66636 77742 82152 100571 103656 116613 123228 133272 155484 201142 233226 246456 301713 310968 402284 466452 603426 703997 804568 905139 932904 1206852 1407994 1810278 2111991 2413704 2715417 2815988 3620556 4223982 5430834 5631976 6335973 7241112 8447964 10861668 12671946 16895928 19007919 21723336 25343892 38015838 50687784 76031676 152063352