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252740952 = 23331497853
BaseRepresentation
bin11110001000010…
…00010101011000
3122121120120102000
433010020111120
51004200202302
641025041000
76156156042
oct1704102530
9577516360
10252740952
1111a736022
1270786160
1340492179
14257d0a92
15172c631c
hexf108558

252740952 has 64 divisors (see below), whose sum is σ = 706860000. Its totient is φ = 83670912.

The previous prime is 252740911. The next prime is 252740959. The reversal of 252740952 is 259047252.

It is a happy number.

252740952 is a `hidden beast` number, since 2 + 527 + 40 + 95 + 2 = 666.

252740952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (252740959) 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 15 ways as a sum of consecutive naturals, for example, 28258 + ... + 36110.

Almost surely, 2252740952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252740952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353430000).

252740952 is an abundant number, since it is smaller than the sum of its proper divisors (454119048).

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

252740952 is a wasteful number, since it uses less digits than its factorization.

252740952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8017 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 252740952 is about 15897.8285309661. The cubic root of 252740952 is about 632.2544174101.

The spelling of 252740952 in words is "two hundred fifty-two million, seven hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1192 1341 1788 2682 3576 4023 5364 7853 8046 10728 15706 16092 23559 31412 32184 47118 62824 70677 94236 141354 188472 212031 282708 424062 565416 848124 1170097 1696248 2340194 3510291 4680388 7020582 9360776 10530873 14041164 21061746 28082328 31592619 42123492 63185238 84246984 126370476 252740952