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56622240 = 2534517257
BaseRepresentation
bin1101011111111…
…1110010100000
310221112201010000
43113333302200
5103443402430
65341340000
71255165263
oct327776240
9127481100
1056622240
1129a64144
1216b67600
13b9666ac
14773ccda
154e86e60
hex35ffca0

56622240 has 240 divisors, whose sum is σ = 212407272. Its totient is φ = 14155776.

The previous prime is 56622229. The next prime is 56622253. The reversal of 56622240 is 4222665.

It can be written as a sum of positive squares in 4 ways, for example, as 56610576 + 11664 = 7524^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 771 × 765 × 96.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220192 + ... + 220448.

Almost surely, 256622240 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 56622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106203636).

56622240 is an abundant number, since it is smaller than the sum of its proper divisors (155785032).

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

56622240 is a wasteful number, since it uses less digits than its factorization.

56622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56622240 is about 7524.7750796951. The cubic root of 56622240 is about 383.9980468651.

The spelling of 56622240 in words is "fifty-six million, six hundred twenty-two thousand, two hundred forty".