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5797962240 = 2935733171
BaseRepresentation
bin1010110011001010…
…11110001000000000
3112222001212222222020
411121211132020000
543333234242430
62355154241440
7263451603000
oct53145361000
915861788866
105797962240
112505886934
121159886280
1371527a0b5
143d005a000
1523e029b10
hex15995e200

5797962240 has 640 divisors, whose sum is σ = 22627123200. Its totient is φ = 1264435200.

The previous prime is 5797962223. The next prime is 5797962259. The reversal of 5797962240 is 422697975.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×57979622402 = 67232732272931635200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81661405 + ... + 81661475.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 25797962240 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 5797962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

5797962240 is an abundant number, since it is smaller than the sum of its proper divisors (16829160960).

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

5797962240 is an equidigital number, since it uses as much as digits as its factorization.

5797962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 5797962240 is about 76144.3513335034. The cubic root of 5797962240 is about 1796.4913380006.

The spelling of 5797962240 in words is "five billion, seven hundred ninety-seven million, nine hundred sixty-two thousand, two hundred forty".