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253693953 = 3245761681
BaseRepresentation
bin11110001111100…
…01000000000001
3122200100222200100
433013301000001
51004421201303
641101313013
76200235342
oct1707610001
9580328610
10253693953
11120227027
1270b65769
1340736b86
142599c0c9
15174138a3
hexf1f1001

253693953 has 12 divisors (see below), whose sum is σ = 367254628. Its totient is φ = 168756480.

The previous prime is 253693939. The next prime is 253693961. The reversal of 253693953 is 359396352.

253693953 is a `hidden beast` number, since 253 + 6 + 9 + 395 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209178369 + 44515584 = 14463^2 + 6672^2 .

It is not a de Polignac number, because 253693953 - 26 = 253693889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253693899 and 253693908.

It is not an unprimeable number, because it can be changed into a prime (253693753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26728 + ... + 34953.

Almost surely, 2253693953 is an apocalyptic number.

It is an amenable number.

253693953 is a deficient number, since it is larger than the sum of its proper divisors (113560675).

253693953 is a wasteful number, since it uses less digits than its factorization.

253693953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62144 (or 62141 counting only the distinct ones).

The product of its digits is 656100, while the sum is 45.

The square root of 253693953 is about 15927.7730081766. The cubic root of 253693953 is about 633.0480934986.

The spelling of 253693953 in words is "two hundred fifty-three million, six hundred ninety-three thousand, nine hundred fifty-three".

Divisors: 1 3 9 457 1371 4113 61681 185043 555129 28188217 84564651 253693953