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73133125 = 54139001
BaseRepresentation
bin1000101101111…
…10110001000101
312002121112210021
410112332301011
5122210230000
611131255141
71545423052
oct426766105
9162545707
1073133125
1138310aaa
12205aa4b1
13121c7950
1499da029
15664911a
hex45bec45

73133125 has 20 divisors (see below), whose sum is σ = 98427868. Its totient is φ = 54000000.

The previous prime is 73133111. The next prime is 73133183. The reversal of 73133125 is 52133137.

It can be written as a sum of positive squares in 10 ways, for example, as 71876484 + 1256641 = 8478^2 + 1121^2 .

It is not a de Polignac number, because 73133125 - 217 = 73002053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73133125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3625 + ... + 12625.

Almost surely, 273133125 is an apocalyptic number.

It is an amenable number.

73133125 is a deficient number, since it is larger than the sum of its proper divisors (25294743).

73133125 is an equidigital number, since it uses as much as digits as its factorization.

73133125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034 (or 9019 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 73133125 is about 8551.7907481416. The cubic root of 73133125 is about 418.1878176590.

It can be divided in two parts, 731 and 33125, that added together give a square (33856 = 1842).

The spelling of 73133125 in words is "seventy-three million, one hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 625 1625 8125 9001 45005 117013 225025 585065 1125125 2925325 5625625 14626625 73133125