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4290504408 = 2332311922269
BaseRepresentation
bin1111111110111011…
…1110011011011000
3102002000100012120200
43333232332123120
532241332120113
61545424222200
7211215454131
oct37756763330
912060305520
104290504408
111901972513
129b8a6a960
13534b76408
142c9b74c88
151a1a0a873
hexffbbe6d8

4290504408 has 48 divisors (see below), whose sum is σ = 11994964800. Its totient is φ = 1384032960.

The previous prime is 4290504401. The next prime is 4290504431. The reversal of 4290504408 is 8044050924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290504401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958903 + ... + 963366.

It is an arithmetic number, because the mean of its divisors is an integer number (249895100).

Almost surely, 24290504408 is an apocalyptic number.

It is an amenable number.

4290504408 is an abundant number, since it is smaller than the sum of its proper divisors (7704460392).

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

4290504408 is a wasteful number, since it uses less digits than its factorization.

4290504408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922312 (or 1922305 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4290504408 is about 65501.9420170120. The cubic root of 4290504408 is about 1624.9354651136.

The spelling of 4290504408 in words is "four billion, two hundred ninety million, five hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 1922269 3844538 5766807 7689076 11533614 15378152 17300421 23067228 34600842 46134456 59590339 69201684 119180678 138403368 178771017 238361356 357542034 476722712 536313051 715084068 1072626102 1430168136 2145252204 4290504408