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125437401 = 3289156601
BaseRepresentation
bin1110111101000…
…00010111011001
322202000212202200
413132200113121
5224102444101
620240320413
73052125465
oct736402731
9282025680
10125437401
1164895a81
1236013109
131ccabb1b
14129334a5
15b02b986
hex77a05d9

125437401 has 12 divisors (see below), whose sum is σ = 183224340. Its totient is φ = 82684800.

The previous prime is 125437391. The next prime is 125437447. The reversal of 125437401 is 104734521.

125437401 is a `hidden beast` number, since 1 + 254 + 3 + 7 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 42263001 = 9120^2 + 6501^2 .

It is not a de Polignac number, because 125437401 - 25 = 125437369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125437471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77500 + ... + 79101.

It is an arithmetic number, because the mean of its divisors is an integer number (15268695).

Almost surely, 2125437401 is an apocalyptic number.

It is an amenable number.

125437401 is a deficient number, since it is larger than the sum of its proper divisors (57786939).

125437401 is a wasteful number, since it uses less digits than its factorization.

125437401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156696 (or 156693 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125437401 is about 11199.8839726133. The cubic root of 125437401 is about 500.5825224051.

The spelling of 125437401 in words is "one hundred twenty-five million, four hundred thirty-seven thousand, four hundred one".

Divisors: 1 3 9 89 267 801 156601 469803 1409409 13937489 41812467 125437401