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152168382 = 2348311317
BaseRepresentation
bin10010001000111…
…10011110111110
3101121022221210000
421010132132332
5302423342012
623033255130
73525260412
oct1104363676
9347287700
10152168382
11789933a3
1242b644a6
13256aab82
14162d0d42
15d55bddc
hex911e7be

152168382 has 40 divisors (see below), whose sum is σ = 345108456. Its totient is φ = 50107248.

The previous prime is 152168333. The next prime is 152168413. The reversal of 152168382 is 283861251.

It is a happy number.

152168382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 7788 + ... + 19104.

Almost surely, 2152168382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152168382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172554228).

152168382 is an abundant number, since it is smaller than the sum of its proper divisors (192940074).

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

152168382 is a wasteful number, since it uses less digits than its factorization.

152168382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11405 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 152168382 is about 12335.6549076245. The cubic root of 152168382 is about 533.8773231639.

The spelling of 152168382 in words is "one hundred fifty-two million, one hundred sixty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 747 1494 2241 4482 6723 11317 13446 22634 33951 67902 101853 203706 305559 611118 916677 939311 1833354 1878622 2817933 5635866 8453799 16907598 25361397 50722794 76084191 152168382