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152163312 = 24371313457
BaseRepresentation
bin10010001000111…
…01001111110000
3101121022200211020
421010131033300
5302423211222
623033215440
73525236550
oct1104351760
9347280736
10152163312
117898a604
1242b61580
13256a8782
14162cd160
15d55a65c
hex911d3f0

152163312 has 80 divisors (see below), whose sum is σ = 452804352. Its totient is φ = 43130880.

The previous prime is 152163287. The next prime is 152163313. The reversal of 152163312 is 213361251.

152163312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152163313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42288 + ... + 45744.

Almost surely, 2152163312 is an apocalyptic number.

152163312 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 152163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

152163312 is an abundant number, since it is smaller than the sum of its proper divisors (300641040).

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

152163312 is a wasteful number, since it uses less digits than its factorization.

152163312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3600 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 152163312 is about 12335.4494040550. The cubic root of 152163312 is about 533.8713937935.

It can be divided in two parts, 15216 and 3312, that added together give a triangular number (18528 = T192).

The spelling of 152163312 in words is "one hundred fifty-two million, one hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3457 3668 5502 6288 6914 7336 10371 11004 13828 14672 20742 22008 24199 27656 41484 44016 48398 55312 72597 82968 96796 145194 165936 193592 290388 387184 452867 580776 905734 1161552 1358601 1811468 2717202 3170069 3622936 5434404 6340138 7245872 9510207 10868808 12680276 19020414 21737616 25360552 38040828 50721104 76081656 152163312