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4879042560 = 21133572521
BaseRepresentation
bin1001000101101000…
…00100100000000000
3110121000210001011000
410202310010200000
534443013330220
62124050452000
7231623114610
oct44264044000
913530701130
104879042560
112084101987
12b41b94000
135c9a8ac42
14343db6a40
151d8512390
hex122d04800

4879042560 has 384 divisors, whose sum is σ = 19828972800. Its totient is φ = 1114767360.

The previous prime is 4879042541. The next prime is 4879042579. The reversal of 4879042560 is 652409784.

It is a happy number.

4879042560 is a `hidden beast` number, since 4 + 87 + 9 + 0 + 4 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4879042541) and next prime (4879042579).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934100 + ... + 1936620.

It is an arithmetic number, because the mean of its divisors is an integer number (51637950).

Almost surely, 24879042560 is an apocalyptic number.

4879042560 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 4879042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914486400).

4879042560 is an abundant number, since it is smaller than the sum of its proper divisors (14949930240).

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

4879042560 is a wasteful number, since it uses less digits than its factorization.

4879042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4879042560 is about 69850.1435932669. The cubic root of 4879042560 is about 1696.0742817827.

The spelling of 4879042560 in words is "four billion, eight hundred seventy-nine million, forty-two thousand, five hundred sixty".