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5729085072 = 243313261771
BaseRepresentation
bin1010101010111101…
…01110011010010000
3112210021021200021000
411111132232122100
543213121210242
62344254102000
7261654263634
oct52536563220
915707250230
105729085072
11247aa12457
12113a7aa900
13703c12689
143c4c4adc4
15237e71a4c
hex1557ae690

5729085072 has 40 divisors (see below), whose sum is σ = 16444597280. Its totient is φ = 1909694880.

The previous prime is 5729085059. The next prime is 5729085073. The reversal of 5729085072 is 2705809275.

It is a happy number.

5729085072 is a `hidden beast` number, since 57 + 2 + 90 + 8 + 507 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5729085073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6630454 + ... + 6631317.

It is an arithmetic number, because the mean of its divisors is an integer number (411114932).

Almost surely, 25729085072 is an apocalyptic number.

It is an amenable number.

5729085072 is an abundant number, since it is smaller than the sum of its proper divisors (10715512208).

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

5729085072 is a wasteful number, since it uses less digits than its factorization.

5729085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261788 (or 13261776 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5729085072 is about 75690.7198538896. The cubic root of 5729085072 is about 1789.3491461446.

The spelling of 5729085072 in words is "five billion, seven hundred twenty-nine million, eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 13261771 26523542 39785313 53047084 79570626 106094168 119355939 159141252 212188336 238711878 318282504 358067817 477423756 636565008 716135634 954847512 1432271268 1909695024 2864542536 5729085072