Search a number
-
+
56677376 = 21077907
BaseRepresentation
bin1101100000110…
…1010000000000
310221122111202002
43120031100000
5104002134001
65342443132
71255515110
oct330152000
9127574662
1056677376
1129aa1608
1216b934a8
13b985812
147755040
154e9846b
hex360d400

56677376 has 44 divisors (see below), whose sum is σ = 129501408. Its totient is φ = 24287232.

The previous prime is 56677363. The next prime is 56677403. The reversal of 56677376 is 67377665.

It is a self number, because there is not a number n which added to its sum of digits gives 56677376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3215 + ... + 11121.

Almost surely, 256677376 is an apocalyptic number.

56677376 is a gapful number since it is divisible by the number (56) 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 56677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64750704).

56677376 is an abundant number, since it is smaller than the sum of its proper divisors (72824032).

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

56677376 is an equidigital number, since it uses as much as digits as its factorization.

56677376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7916 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 47.

The square root of 56677376 is about 7528.4378193620. The cubic root of 56677376 is about 384.1226460090.

It can be divided in two parts, 56 and 677376, that multiplied together give a cube (37933056 = 3363).

The spelling of 56677376 in words is "fifty-six million, six hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 7907 15814 31628 55349 63256 110698 126512 221396 253024 442792 506048 885584 1012096 1771168 2024192 3542336 4048384 7084672 8096768 14169344 28338688 56677376