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5879384352 = 25342268281
BaseRepresentation
bin1010111100111000…
…00100100100100000
3120011202002200010000
411132130010210200
544020110244402
62411223340000
7265460641152
oct53634044440
916152080100
105879384352
112547839536
121180bb1600
137290b786a
143dabb2ad2
1524625ec1c
hex15e704920

5879384352 has 60 divisors (see below), whose sum is σ = 17291113686. Its totient is φ = 1959793920.

The previous prime is 5879384351. The next prime is 5879384383. The reversal of 5879384352 is 2534839785.

5879384352 is a `hidden beast` number, since 587 + 9 + 3 + 8 + 4 + 3 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5398722576 + 480661776 = 73476^2 + 21924^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5879384351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1131549 + ... + 1136732.

Almost surely, 25879384352 is an apocalyptic number.

It is an amenable number.

5879384352 is an abundant number, since it is smaller than the sum of its proper divisors (11411729334).

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

5879384352 is a wasteful number, since it uses less digits than its factorization.

5879384352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268303 (or 2268286 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5879384352 is about 76677.1436087704. The cubic root of 5879384352 is about 1804.8617898435.

The spelling of 5879384352 in words is "five billion, eight hundred seventy-nine million, three hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2268281 4536562 6804843 9073124 13609686 18146248 20414529 27219372 36292496 40829058 54438744 61243587 72584992 81658116 108877488 122487174 163316232 183730761 217754976 244974348 326632464 367461522 489948696 653264928 734923044 979897392 1469846088 1959794784 2939692176 5879384352