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380756656 = 24721925561
BaseRepresentation
bin10110101100011…
…110001010110000
3222112110102221101
4112230132022300
51234433203111
6101440534144
712302243500
oct2654361260
9875412841
10380756656
11185a22125
12a7621354
1360b646c7
14387d5a00
1523661bc1
hex16b1e2b0

380756656 has 60 divisors (see below), whose sum is σ = 903361080. Its totient is φ = 154586880.

The previous prime is 380756653. The next prime is 380756669. The reversal of 380756656 is 656657083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380756653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2116 + ... + 27676.

It is an arithmetic number, because the mean of its divisors is an integer number (15056018).

Almost surely, 2380756656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380756656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451680540).

380756656 is an abundant number, since it is smaller than the sum of its proper divisors (522604424).

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

380756656 is a wasteful number, since it uses less digits than its factorization.

380756656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25602 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 380756656 is about 19512.9868549128. The cubic root of 380756656 is about 724.7960780423.

The spelling of 380756656 in words is "three hundred eighty million, seven hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 14896 25561 51122 102244 178927 204488 357854 408976 485659 715708 971318 1252489 1431416 1942636 2504978 2862832 3399613 3885272 5009956 6799226 7770544 10019912 13598452 20039824 23797291 27196904 47594582 54393808 95189164 190378328 380756656