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253713564 = 223213542123
BaseRepresentation
bin11110001111101…
…01110010011100
3122200101222120200
433013311302130
51004422313224
641101543500
76200346456
oct1707656234
9580358520
10253713564
1112023a835
1270b74b90
1340742a90
14259a52d6
15174195c9
hexf1f5c9c

253713564 has 36 divisors (see below), whose sum is σ = 690665976. Its totient is φ = 78065568.

The previous prime is 253713563. The next prime is 253713583. The reversal of 253713564 is 465317352.

253713564 is a `hidden beast` number, since 25 + 3 + 71 + 3 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253713563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270594 + ... + 271529.

It is an arithmetic number, because the mean of its divisors is an integer number (19185166).

Almost surely, 2253713564 is an apocalyptic number.

It is an amenable number.

253713564 is an abundant number, since it is smaller than the sum of its proper divisors (436952412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253713564 is a wasteful number, since it uses less digits than its factorization.

253713564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542146 (or 542141 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 253713564 is about 15928.3886190663. The cubic root of 253713564 is about 633.0644049980.

The spelling of 253713564 in words is "two hundred fifty-three million, seven hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 542123 1084246 1626369 2168492 3252738 4879107 6505476 7047599 9758214 14095198 19516428 21142797 28190396 42285594 63428391 84571188 126856782 253713564