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56427372 = 22322322963
BaseRepresentation
bin1101011101000…
…0001101101100
310221011210210200
43113100031230
5103421133442
65333233500
71253424201
oct327201554
9127153720
1056427372
11299407a1
1216a92890
13b8c8aa1
1476cbca8
154e4934c
hex35d036c

56427372 has 54 divisors (see below), whose sum is σ = 149157372. Its totient is φ = 17985264.

The previous prime is 56427361. The next prime is 56427373. The reversal of 56427372 is 27372465.

It is a happy number.

56427372 is a `hidden beast` number, since 5 + 642 + 7 + 3 + 7 + 2 = 666.

56427372 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 not an unprimeable number, because it can be changed into a prime (56427373) 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 17 ways as a sum of consecutive naturals, for example, 17563 + ... + 20525.

Almost surely, 256427372 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 56427372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74578686).

56427372 is an abundant number, since it is smaller than the sum of its proper divisors (92730000).

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

56427372 is a wasteful number, since it uses less digits than its factorization.

56427372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 2991 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 56427372 is about 7511.8154929418. The cubic root of 56427372 is about 383.5570249964.

The spelling of 56427372 in words is "fifty-six million, four hundred twenty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 2963 3174 4761 5926 6348 8889 9522 11852 17778 19044 26667 35556 53334 68149 106668 136298 204447 272596 408894 613341 817788 1226682 1567427 2453364 3134854 4702281 6269708 9404562 14106843 18809124 28213686 56427372