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2420656056 = 2333721373241
BaseRepresentation
bin1001000001001000…
…0100011110111000
320020200220001212000
42100102010132320
514424141443211
61040111021000
7113662144200
oct22022043670
96220801760
102420656056
1110324407a5
1257680a760
132c766b880
1418d6b9400
15e27a6656
hex904847b8

2420656056 has 384 divisors, whose sum is σ = 8574350400. Its totient is φ = 627056640.

The previous prime is 2420656033. The next prime is 2420656067. The reversal of 2420656056 is 6506560242.

2420656056 is a `hidden beast` number, since 2 + 42 + 0 + 6 + 5 + 605 + 6 = 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 2420656056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10044096 + ... + 10044336.

Almost surely, 22420656056 is an apocalyptic number.

2420656056 is a gapful number since it is divisible by the number (26) 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 2420656056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287175200).

2420656056 is an abundant number, since it is smaller than the sum of its proper divisors (6153694344).

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

2420656056 is a wasteful number, since it uses less digits than its factorization.

2420656056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2420656056 is about 49200.1631704611. The cubic root of 2420656056 is about 1342.6960008453.

The spelling of 2420656056 in words is "two billion, four hundred twenty million, six hundred fifty-six thousand, fifty-six".