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152242656 = 2535926879
BaseRepresentation
bin10010001001100…
…00100111100000
3101121110201122220
421010300213200
5302433231111
623035031040
73526020066
oct1104604740
9347421586
10152242656
1178a34185
1242b9b480
1325705917
1416310036
15d573e06
hex91309e0

152242656 has 48 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 49885568.

The previous prime is 152242639. The next prime is 152242691. The reversal of 152242656 is 656242251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7776 + ... + 19103.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2152242656 is an apocalyptic number.

152242656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152242656 is an abundant number, since it is smaller than the sum of its proper divisors (254182944).

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

152242656 is a wasteful number, since it uses less digits than its factorization.

152242656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26951 (or 26943 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 152242656 is about 12338.6650817663. The cubic root of 152242656 is about 533.9641715922.

The spelling of 152242656 in words is "one hundred fifty-two million, two hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 26879 53758 80637 107516 161274 215032 322548 430064 645096 860128 1290192 1585861 2580384 3171722 4757583 6343444 9515166 12686888 19030332 25373776 38060664 50747552 76121328 152242656