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73146625 = 535361181
BaseRepresentation
bin1000101110000…
…10000100000001
312002122020022021
410113002010001
5122211143000
611131441441
71545510316
oct427020401
9162566267
1073146625
1138320162
12205b6281
1312200b36
149a00d0d
15664d11a
hex45c2101

73146625 has 32 divisors (see below), whose sum is σ = 95056416. Its totient is φ = 56160000.

The previous prime is 73146589. The next prime is 73146643. The reversal of 73146625 is 52664137.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 72999936 + 146689 = 8544^2 + 383^2 .

It is not a de Polignac number, because 73146625 - 29 = 73146113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404035 + ... + 404215.

It is an arithmetic number, because the mean of its divisors is an integer number (2970513).

Almost surely, 273146625 is an apocalyptic number.

It is an amenable number.

73146625 is a deficient number, since it is larger than the sum of its proper divisors (21909791).

73146625 is a wasteful number, since it uses less digits than its factorization.

73146625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 73146625 is about 8552.5800200875. The cubic root of 73146625 is about 418.2135478516.

The spelling of 73146625 in words is "seventy-three million, one hundred forty-six thousand, six hundred twenty-five".

Divisors: 1 5 25 53 61 125 181 265 305 905 1325 1525 3233 4525 6625 7625 9593 11041 16165 22625 47965 55205 80825 239825 276025 404125 585173 1199125 1380125 2925865 14629325 73146625