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129057425 = 5272137769
BaseRepresentation
bin1111011000101…
…00001010010001
322222211210111122
413230110022101
5231014314200
620450052025
73124653500
oct754241221
9288753448
10129057425
1166938832
123727a015
1320978753
14131d6837
15b4e4385
hex7b14291

129057425 has 36 divisors (see below), whose sum is σ = 187761420. Its totient is φ = 87736320.

The previous prime is 129057407. The next prime is 129057427. The reversal of 129057425 is 524750921.

It can be written as a sum of positive squares in 6 ways, for example, as 2989441 + 126067984 = 1729^2 + 11228^2 .

It is not a de Polignac number, because 129057425 - 26 = 129057361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (129057427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167441 + ... + 168209.

It is an arithmetic number, because the mean of its divisors is an integer number (5215595).

Almost surely, 2129057425 is an apocalyptic number.

It is an amenable number.

129057425 is a deficient number, since it is larger than the sum of its proper divisors (58703995).

129057425 is a wasteful number, since it uses less digits than its factorization.

129057425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 129057425 is about 11360.3444049905. The cubic root of 129057425 is about 505.3523991970.

The spelling of 129057425 in words is "one hundred twenty-nine million, fifty-seven thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 49 137 175 245 685 769 959 1225 3425 3845 4795 5383 6713 19225 23975 26915 33565 37681 105353 134575 167825 188405 526765 737471 942025 2633825 3687355 5162297 18436775 25811485 129057425