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56409408 = 26321129307
BaseRepresentation
bin1101011100101…
…1110101000000
310221010220011100
43113023311000
5103420100113
65333014400
71253320626
oct327136500
9127126140
1056409408
1129929250
1216a84400
13b8c0863
1476c5516
154e43d73
hex35cbd40

56409408 has 168 divisors, whose sum is σ = 183062880. Its totient is φ = 16450560.

The previous prime is 56409407. The next prime is 56409433. The reversal of 56409408 is 80490465.

56409408 is a `hidden beast` number, since 5 + 640 + 9 + 4 + 0 + 8 = 666.

56409408 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56409401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 183591 + ... + 183897.

It is an arithmetic number, because the mean of its divisors is an integer number (1089660).

Almost surely, 256409408 is an apocalyptic number.

56409408 is a gapful number since it is divisible by the number (58) 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 56409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91531440).

56409408 is an abundant number, since it is smaller than the sum of its proper divisors (126653472).

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

56409408 is a wasteful number, since it uses less digits than its factorization.

56409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56409408 is about 7510.6196814910. The cubic root of 56409408 is about 383.5163180991.

The spelling of 56409408 in words is "fifty-six million, four hundred nine thousand, four hundred eight".