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5797139400 = 233252132171959
BaseRepresentation
bin1010110011000100…
…10101001111001000
3112222000100012020200
411121202111033020
543333031430100
62355124452200
7263441605023
oct53142251710
915860305220
105797139400
1125053746a8
12115954a060
1371504c700
143cdcc41ba
1523de15e00
hex1598953c8

5797139400 has 864 divisors, whose sum is σ = 23894676000. Its totient is φ = 1250795520.

The previous prime is 5797139357. The next prime is 5797139401. The reversal of 5797139400 is 49317975.

5797139400 is a `hidden beast` number, since 579 + 7 + 1 + 39 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5797139401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 98256571 + ... + 98256629.

It is an arithmetic number, because the mean of its divisors is an integer number (27655875).

Almost surely, 25797139400 is an apocalyptic number.

5797139400 is a gapful number since it is divisible by the number (50) 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 5797139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947338000).

5797139400 is an abundant number, since it is smaller than the sum of its proper divisors (18097536600).

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

5797139400 is a wasteful number, since it uses less digits than its factorization.

5797139400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 5797139400 is about 76138.9479832759. The cubic root of 5797139400 is about 1796.4063486654.

The spelling of 5797139400 in words is "five billion, seven hundred ninety-seven million, one hundred thirty-nine thousand, four hundred".