Search a number
-
+
56976032 = 254347881
BaseRepresentation
bin1101100101011…
…0001010100000
310222012200102102
43121112022200
5104041213112
65353105532
71261200611
oct331261240
9128180372
1056976032
112a185a33
12170b82a8
13ba5b739
1477d1c08
155006bc2
hex36562a0

56976032 has 48 divisors (see below), whose sum is σ = 117355392. Its totient is φ = 27202560.

The previous prime is 56976011. The next prime is 56976053. The reversal of 56976032 is 23067965.

It is an interprime number because it is at equal distance from previous prime (56976011) and next prime (56976053).

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 7 ways as a sum of consecutive naturals, for example, 64232 + ... + 65112.

It is an arithmetic number, because the mean of its divisors is an integer number (2444904).

Almost surely, 256976032 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 56976032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58677696).

56976032 is an abundant number, since it is smaller than the sum of its proper divisors (60379360).

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

56976032 is a wasteful number, since it uses less digits than its factorization.

56976032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 56976032 is about 7548.2469487955. The cubic root of 56976032 is about 384.7961635330.

The spelling of 56976032 in words is "fifty-six million, nine hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 47 86 94 172 188 344 376 688 752 881 1376 1504 1762 2021 3524 4042 7048 8084 14096 16168 28192 32336 37883 41407 64672 75766 82814 151532 165628 303064 331256 606128 662512 1212256 1325024 1780501 3561002 7122004 14244008 28488016 56976032