Search a number
-
+
56941632 = 26321121943
BaseRepresentation
bin1101100100110…
…1110001000000
310222010221020100
43121031301000
5104034113012
65352242400
71260665406
oct331156100
9128127210
1056941632
112a162100
12170a0400
13ba48b97
1477c3476
154eeb8dc
hex364dc40

56941632 has 252 divisors, whose sum is σ = 193233040. Its totient is φ = 15966720.

The previous prime is 56941627. The next prime is 56941649. The reversal of 56941632 is 23614965.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324203 + ... + 1324245.

Almost surely, 256941632 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 56941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96616520).

56941632 is an abundant number, since it is smaller than the sum of its proper divisors (136291408).

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

56941632 is a wasteful number, since it uses less digits than its factorization.

56941632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 56941632 is about 7545.9679299610. The cubic root of 56941632 is about 384.7187060919.

The spelling of 56941632 in words is "fifty-six million, nine hundred forty-one thousand, six hundred thirty-two".