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4004868264 = 233181921931
BaseRepresentation
bin1110111010110101…
…0111000010101000
3101100002212101110020
43232231113002220
531200221241024
61501222120440
7201146550525
oct35655270250
911302771406
104004868264
111775709891
12939280120
134ba937547
1429dc6014c
151868d7979
hexeeb570a8

4004868264 has 32 divisors (see below), whose sum is σ = 10067497440. Its totient is φ = 1327579200.

The previous prime is 4004868247. The next prime is 4004868281. The reversal of 4004868264 is 4628684004.

It is an interprime number because it is at equal distance from previous prime (4004868247) and next prime (4004868281).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456622 + ... + 465309.

It is an arithmetic number, because the mean of its divisors is an integer number (314609295).

Almost surely, 24004868264 is an apocalyptic number.

It is an amenable number.

4004868264 is an abundant number, since it is smaller than the sum of its proper divisors (6062629176).

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

4004868264 is a wasteful number, since it uses less digits than its factorization.

4004868264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922121 (or 922117 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4004868264 is about 63284.0285064091. The cubic root of 4004868264 is about 1588.0447815013.

The spelling of 4004868264 in words is "four billion, four million, eight hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 724 1086 1448 2172 4344 921931 1843862 2765793 3687724 5531586 7375448 11063172 22126344 166869511 333739022 500608533 667478044 1001217066 1334956088 2002434132 4004868264