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253679601 = 37115310477
BaseRepresentation
bin11110001111011…
…01011111110001
3122200100020222210
433013231133301
51004420221401
641101122333
76200145450
oct1707553761
9580306883
10253679601
1112021726a
1270b593a9
1340730496
1425996b97
151740e4d6
hexf1ed7f1

253679601 has 16 divisors (see below), whose sum is σ = 386931584. Its totient is φ = 144820224.

The previous prime is 253679597. The next prime is 253679609. The reversal of 253679601 is 106976352.

It is not a de Polignac number, because 253679601 - 22 = 253679597 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253679601.

It is not an unprimeable number, because it can be changed into a prime (253679609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18975 + ... + 29451.

It is an arithmetic number, because the mean of its divisors is an integer number (24183224).

Almost surely, 2253679601 is an apocalyptic number.

253679601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253679601 is a deficient number, since it is larger than the sum of its proper divisors (133251983).

253679601 is a wasteful number, since it uses less digits than its factorization.

253679601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 253679601 is about 15927.3224680107. The cubic root of 253679601 is about 633.0361556532.

The spelling of 253679601 in words is "two hundred fifty-three million, six hundred seventy-nine thousand, six hundred one".

Divisors: 1 3 7 21 1153 3459 8071 10477 24213 31431 73339 220017 12079981 36239943 84559867 253679601