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56951388 = 223213731667
BaseRepresentation
bin1101100101000…
…0001001011100
310222011102121200
43121100021130
5104034421023
65352355500
71261036014
oct331201134
9128142550
1056951388
112a16946a
12170a5b90
13ba50460
1477c6c44
154eee743
hex365025c

56951388 has 72 divisors (see below), whose sum is σ = 157252368. Its totient is φ = 17273088.

The previous prime is 56951387. The next prime is 56951413. The reversal of 56951388 is 88315965.

56951388 is a `hidden beast` number, since 56 + 9 + 513 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56951383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33331 + ... + 34997.

Almost surely, 256951388 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 56951388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78626184).

56951388 is an abundant number, since it is smaller than the sum of its proper divisors (100300980).

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

56951388 is a wasteful number, since it uses less digits than its factorization.

56951388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1758 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 56951388 is about 7546.6143402191. The cubic root of 56951388 is about 384.7406765508.

The spelling of 56951388 in words is "fifty-six million, nine hundred fifty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1314 1667 1898 2628 2847 3334 3796 5001 5694 6668 8541 10002 11388 15003 17082 20004 21671 30006 34164 43342 60012 65013 86684 121691 130026 195039 243382 260052 365073 390078 486764 730146 780156 1095219 1460292 1581983 2190438 3163966 4380876 4745949 6327932 9491898 14237847 18983796 28475694 56951388