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67813425 = 32521717729
BaseRepresentation
bin1000000101011…
…00000000110001
311201121021112100
410002230000301
5114330012200
610421251013
71452255531
oct402540061
9151537470
1067813425
1135308259
121a863a69
13110844b4
1490134c1
155e47d00
hex40ac031

67813425 has 36 divisors (see below), whose sum is σ = 128613420. Its totient is φ = 34037760.

The previous prime is 67813409. The next prime is 67813439. The reversal of 67813425 is 52431876.

67813425 = 11402 + 11412 + ... + 11892.

It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 67223601 = 768^2 + 8199^2 .

It is not a de Polignac number, because 67813425 - 24 = 67813409 is a prime.

It is a super-2 number, since 2×678134252 = 9197321220461250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67813425.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5040 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (3572595).

Almost surely, 267813425 is an apocalyptic number.

It is an amenable number.

67813425 is a deficient number, since it is larger than the sum of its proper divisors (60799995).

67813425 is a wasteful number, since it uses less digits than its factorization.

67813425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17762 (or 17754 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 67813425 is about 8234.8907096573. The cubic root of 67813425 is about 407.7918668823.

The spelling of 67813425 in words is "sixty-seven million, eight hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 17729 53187 88645 159561 265935 301393 443225 797805 904179 1329675 1506965 2712537 3989025 4520895 7534825 13562685 22604475 67813425