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75935025 = 3252337489
BaseRepresentation
bin1001000011010…
…10110100110001
312021212220021100
410201222310301
5123414410100
611311315013
71611302625
oct441526461
9167786240
1075935025
1139955121
122151ba69
131296908a
14a129185
1569ee400
hex486ad31

75935025 has 18 divisors (see below), whose sum is σ = 136008470. Its totient is φ = 40498560.

The previous prime is 75935023. The next prime is 75935047. The reversal of 75935025 is 52053957.

It can be written as a sum of positive squares in 3 ways, for example, as 23270976 + 52664049 = 4824^2 + 7257^2 .

It is not a de Polignac number, because 75935025 - 21 = 75935023 is a prime.

It is a super-5 number, since 5×759350255 (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75935023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 168520 + ... + 168969.

Almost surely, 275935025 is an apocalyptic number.

75935025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75935025 is a deficient number, since it is larger than the sum of its proper divisors (60073445).

75935025 is a wasteful number, since it uses less digits than its factorization.

75935025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337505 (or 337497 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 75935025 is about 8714.0705184202. The cubic root of 75935025 is about 423.4616123259.

It can be divided in two parts, 759350 and 25, that added together give a 5-th power (759375 = 155).

The spelling of 75935025 in words is "seventy-five million, nine hundred thirty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 337489 1012467 1687445 3037401 5062335 8437225 15187005 25311675 75935025