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4256996520 = 23357217371151
BaseRepresentation
bin1111110110111100…
…1001110010101000
3101222200021211101210
43331233021302220
532204242342040
61542230113120
7210330605400
oct37557116250
911880254353
104256996520
111894a66547
129a97ab7a0
1352ac4386a
142c5531800
1519dadc480
hexfdbc9ca8

4256996520 has 384 divisors, whose sum is σ = 16169103360. Its totient is φ = 890265600.

The previous prime is 4256996519. The next prime is 4256996543. The reversal of 4256996520 is 256996524.

It is a super-2 number, since 2×42569965202 = 36244038742584220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4256996520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3697945 + ... + 3699095.

It is an arithmetic number, because the mean of its divisors is an integer number (42107040).

Almost surely, 24256996520 is an apocalyptic number.

4256996520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256996520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084551680).

4256996520 is an abundant number, since it is smaller than the sum of its proper divisors (11912106840).

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

4256996520 is a wasteful number, since it uses less digits than its factorization.

4256996520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 4256996520 is about 65245.6628443608. The cubic root of 4256996520 is about 1620.6942764123.

The spelling of 4256996520 in words is "four billion, two hundred fifty-six million, nine hundred ninety-six thousand, five hundred twenty".