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56407104 = 26371331
BaseRepresentation
bin1101011100101…
…1010001000000
310221010210000000
43113023101000
5103420011404
65333000000
71253311125
oct327132100
9127123000
1056407104
1129927546
1216a83000
13b8bc7b0
1476c474c
154e43339
hex35cb440

56407104 has 224 divisors, whose sum is σ = 186618880. Its totient is φ = 16796160.

The previous prime is 56407093. The next prime is 56407111. The reversal of 56407104 is 40170465.

56407104 is a `hidden beast` number, since 5 + 640 + 7 + 10 + 4 = 666.

It is a super-2 number, since 2×564071042 = 6363522763333632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

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 31 ways as a sum of consecutive naturals, for example, 1819569 + ... + 1819599.

It is an arithmetic number, because the mean of its divisors is an integer number (833120).

Almost surely, 256407104 is an apocalyptic number.

56407104 is a gapful number since it is divisible by the number (54) 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 56407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93309440).

56407104 is an abundant number, since it is smaller than the sum of its proper divisors (130211776).

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

56407104 is an equidigital number, since it uses as much as digits as its factorization.

56407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 56407104 is about 7510.4662971083. The cubic root of 56407104 is about 383.5110965491.

Adding to 56407104 its reverse (40170465), we get a palindrome (96577569).

The spelling of 56407104 in words is "fifty-six million, four hundred seven thousand, one hundred four".