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5797061400 = 23352137310181
BaseRepresentation
bin1010110011000100…
…00010001100011000
3112222000012020020210
411121202002030120
543333021431100
62355123051120
7263441131434
oct53142021430
915860166223
105797061400
112505321039
121159510aa0
13715023060
143cdca39c4
1523ddecc50
hex159882318

5797061400 has 192 divisors, whose sum is σ = 19620306720. Its totient is φ = 1407283200.

The previous prime is 5797061399. The next prime is 5797061407. The reversal of 5797061400 is 41607975.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5797061407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564310 + ... + 574490.

Almost surely, 25797061400 is an apocalyptic number.

5797061400 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 5797061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810153360).

5797061400 is an abundant number, since it is smaller than the sum of its proper divisors (13823245320).

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

5797061400 is a wasteful number, since it uses less digits than its factorization.

5797061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 5797061400 is about 76138.4357601337. The cubic root of 5797061400 is about 1796.3982917996.

The spelling of 5797061400 in words is "five billion, seven hundred ninety-seven million, sixty-one thousand, four hundred".