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4255014456 = 233371117101149
BaseRepresentation
bin1111110110011110…
…0101111000111000
3101222112120010112000
43331213211320320
532203240430311
61542115421000
7210305011650
oct37547457070
911875503460
104255014456
111893932380
129a8bb4760
1352a6cb644
142c5177360
1519d84a056
hexfd9e5e38

4255014456 has 512 divisors, whose sum is σ = 15863040000. Its totient is φ = 1022976000.

The previous prime is 4255014431. The next prime is 4255014539. The reversal of 4255014456 is 6544105524.

4255014456 is a `hidden beast` number, since 42 + 550 + 14 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4255014456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28557070 + ... + 28557218.

It is an arithmetic number, because the mean of its divisors is an integer number (30982500).

Almost surely, 24255014456 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 4255014456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931520000).

4255014456 is an abundant number, since it is smaller than the sum of its proper divisors (11608025544).

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

4255014456 is a wasteful number, since it uses less digits than its factorization.

4255014456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4255014456 is about 65230.4718364048. The cubic root of 4255014456 is about 1620.4427047978.

The spelling of 4255014456 in words is "four billion, two hundred fifty-five million, fourteen thousand, four hundred fifty-six".