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152290816 = 29378039
BaseRepresentation
bin10010001001111…
…00011000000000
3101121120011201121
421010330120000
5302441301231
623040042024
73526310356
oct1104743000
9347504647
10152290816
1178a67387
1243003314
1325721812
14163237d6
15d583311
hex913c600

152290816 has 40 divisors (see below), whose sum is σ = 312546960. Its totient is φ = 74078208.

The previous prime is 152290793. The next prime is 152290819. The reversal of 152290816 is 618092251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152290819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14925 + ... + 22963.

It is an arithmetic number, because the mean of its divisors is an integer number (7813674).

Almost surely, 2152290816 is an apocalyptic number.

152290816 is a gapful number since it is divisible by the number (16) 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 152290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156273480).

152290816 is an abundant number, since it is smaller than the sum of its proper divisors (160256144).

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

152290816 is an frugal number, since it uses more digits than its factorization.

152290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 152290816 is about 12340.6165162037. The cubic root of 152290816 is about 534.0204698817.

The spelling of 152290816 in words is "one hundred fifty-two million, two hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 8039 9472 16078 18944 32156 64312 128624 257248 297443 514496 594886 1028992 1189772 2057984 2379544 4115968 4759088 9518176 19036352 38072704 76145408 152290816