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5830856384 = 261722723609
BaseRepresentation
bin1010110111000101…
…11100111011000000
3120001100210012020212
411123202330323000
543420144401014
62402331253252
7264331314203
oct53342747300
916040705225
105830856384
112522403781
1211688aa228
1371c0264a2
143d457d93a
15241d7623e
hex15b8bcec0

5830856384 has 56 divisors (see below), whose sum is σ = 12305720880. Its totient is φ = 2731728896.

The previous prime is 5830856347. The next prime is 5830856399. The reversal of 5830856384 is 4836580385.

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, 235172 + ... + 258780.

Almost surely, 25830856384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5830856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152860440).

5830856384 is an abundant number, since it is smaller than the sum of its proper divisors (6474864496).

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

5830856384 is a wasteful number, since it uses less digits than its factorization.

5830856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23855 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The square root of 5830856384 is about 76360.0444211500. The cubic root of 5830856384 is about 1799.8823363416.

The spelling of 5830856384 in words is "five billion, eight hundred thirty million, eight hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 227 272 454 544 908 1088 1816 3632 3859 7264 7718 14528 15436 23609 30872 47218 61744 94436 123488 188872 246976 377744 401353 755488 802706 1510976 1605412 3210824 5359243 6421648 10718486 12843296 21436972 25686592 42873944 85747888 91107131 171495776 182214262 342991552 364428524 728857048 1457714096 2915428192 5830856384