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5859313408 = 28139411871
BaseRepresentation
bin1010111010011111…
…00000011100000000
3120010100022221221201
411131033200130000
543444441012113
62405225230544
7265125225244
oct53517403400
916110287851
105859313408
11253747a983
121176332454
13724bab070
143d826a424
152445e7cdd
hex15d3e0700

5859313408 has 72 divisors (see below), whose sum is σ = 12615535296. Its totient is φ = 2699980800.

The previous prime is 5859313367. The next prime is 5859313409. The reversal of 5859313408 is 8043139585.

It is a super-2 number, since 2×58593134082 = 68663107226337148928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5859313409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3130713 + ... + 3132583.

It is an arithmetic number, because the mean of its divisors is an integer number (175215768).

Almost surely, 25859313408 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 5859313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307767648).

5859313408 is an abundant number, since it is smaller than the sum of its proper divisors (6756221888).

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

5859313408 is a wasteful number, since it uses less digits than its factorization.

5859313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 5859313408 is about 76546.1521436578. The cubic root of 5859313408 is about 1802.8056459885.

The spelling of 5859313408 in words is "five billion, eight hundred fifty-nine million, three hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 941 1664 1871 1882 3328 3742 3764 7484 7528 12233 14968 15056 24323 24466 29936 30112 48646 48932 59872 60224 97292 97864 119744 120448 194584 195728 239488 240896 389168 391456 478976 778336 782912 1556672 1565824 1760611 3113344 3131648 3521222 6226688 7042444 14084888 22887943 28169776 45775886 56339552 91551772 112679104 183103544 225358208 366207088 450716416 732414176 1464828352 2929656704 5859313408