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5890785264 = 2434713199251
BaseRepresentation
bin1010111110001111…
…00011111111110000
3120012112112220020000
411133013203333300
544031020112024
62412311550000
7265656564030
oct53707437760
916175486200
105890785264
112553216181
12118498b300
1372b579c70
143dc4dd8c0
15247262cc9
hex15f1e3ff0

5890785264 has 400 divisors, whose sum is σ = 21173644800. Its totient is φ = 1539648000.

The previous prime is 5890785253. The next prime is 5890785269. The reversal of 5890785264 is 4625870985.

5890785264 is a `hidden beast` number, since 589 + 0 + 7 + 8 + 52 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5890785264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5890785269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23469139 + ... + 23469389.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112).

Almost surely, 25890785264 is an apocalyptic number.

5890785264 is a gapful number since it is divisible by the number (54) 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 5890785264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10586822400).

5890785264 is an abundant number, since it is smaller than the sum of its proper divisors (15282859536).

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

5890785264 is a wasteful number, since it uses less digits than its factorization.

5890785264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5890785264 is about 76751.4512175503. The cubic root of 5890785264 is about 1806.0276593152.

The spelling of 5890785264 in words is "five billion, eight hundred ninety million, seven hundred eighty-five thousand, two hundred sixty-four".