Search a number
-
+
5795915040 = 2533519241293
BaseRepresentation
bin1010110010111011…
…01010010100100000
3112221221000222202000
411121131222110200
543332223240130
62355042324000
7263425315326
oct53135522440
915857028660
105795915040
112504708833
121159059600
13714a11336
143cda85d16
1523dc73260
hex15976a520

5795915040 has 384 divisors, whose sum is σ = 21515155200. Its totient is φ = 1453178880.

The previous prime is 5795915039. The next prime is 5795915063. The reversal of 5795915040 is 405195975.

5795915040 is a `hidden beast` number, since 5 + 7 + 9 + 591 + 50 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19781134 + ... + 19781426.

It is an arithmetic number, because the mean of its divisors is an integer number (56029050).

Almost surely, 25795915040 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 5795915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757577600).

5795915040 is an abundant number, since it is smaller than the sum of its proper divisors (15719240160).

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

5795915040 is a wasteful number, since it uses less digits than its factorization.

5795915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The square root of 5795915040 is about 76130.9072584847. The cubic root of 5795915040 is about 1796.2798723245.

The spelling of 5795915040 in words is "five billion, seven hundred ninety-five million, nine hundred fifteen thousand, forty".