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5857301504 = 21010095669
BaseRepresentation
bin1010111010001111…
…10101010000000000
3120010012112202010202
411131013311100000
543443432122004
62405114144332
7265102145525
oct53507652000
916105482122
105857301504
11253632634a
1211757220a8
137246553a2
143d7ca514c
1524434bb1e
hex15d1f5400

5857301504 has 44 divisors (see below), whose sum is σ = 11722554900. Its totient is φ = 2925232128.

The previous prime is 5857301497. The next prime is 5857301531. The reversal of 5857301504 is 4051037585.

It can be written as a sum of positive squares in 2 ways, for example, as 1600000000 + 4257301504 = 40000^2 + 65248^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1030382 + ... + 1036050.

Almost surely, 25857301504 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 5857301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861277450).

5857301504 is an abundant number, since it is smaller than the sum of its proper divisors (5865253396).

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

5857301504 is a wasteful number, since it uses less digits than its factorization.

5857301504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 5857301504 is about 76533.0092443777. The cubic root of 5857301504 is about 1802.5992801081.

The spelling of 5857301504 in words is "five billion, eight hundred fifty-seven million, three hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1009 1024 2018 4036 5669 8072 11338 16144 22676 32288 45352 64576 90704 129152 181408 258304 362816 516608 725632 1033216 1451264 2902528 5720021 5805056 11440042 22880084 45760168 91520336 183040672 366081344 732162688 1464325376 2928650752 5857301504