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56374380 = 22345172389
BaseRepresentation
bin1101011100001…
…1010001101100
310221002010010000
43113003101230
5103412440010
65332144300
71253113536
oct327032154
9127063100
1056374380
11299049a7
1216a68090
13b8aa92a
1476b6856
154e387c0
hex35c346c

56374380 has 240 divisors, whose sum is σ = 197588160. Its totient is φ = 13381632.

The previous prime is 56374379. The next prime is 56374391. The reversal of 56374380 is 8347365.

It is a happy number.

56374380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 633376 + ... + 633464.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 256374380 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 56374380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

56374380 is an abundant number, since it is smaller than the sum of its proper divisors (141213780).

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

56374380 is a wasteful number, since it uses less digits than its factorization.

56374380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56374380 is about 7508.2874212433. The cubic root of 56374380 is about 383.4369188662.

The spelling of 56374380 in words is "fifty-six million, three hundred seventy-four thousand, three hundred eighty".