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56147072 = 27676547
BaseRepresentation
bin1101011000101…
…1110010000000
310220122120022012
43112023302000
5103333201242
65323232052
71251146042
oct326136200
9126576265
1056147072
112976a143
1216978628
13b82b327
147657a92
154de1282
hex358bc80

56147072 has 32 divisors (see below), whose sum is σ = 113542320. Its totient is φ = 27650304.

The previous prime is 56147057. The next prime is 56147083. The reversal of 56147072 is 27074165.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 5303 + ... + 11849.

Almost surely, 256147072 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 56147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56771160).

56147072 is an abundant number, since it is smaller than the sum of its proper divisors (57395248).

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

56147072 is an equidigital number, since it uses as much as digits as its factorization.

56147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 56147072 is about 7493.1349914438. The cubic root of 56147072 is about 382.9208706994.

The spelling of 56147072 in words is "fifty-six million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 6547 8576 13094 26188 52376 104752 209504 419008 438649 838016 877298 1754596 3509192 7018384 14036768 28073536 56147072