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252664353 = 3517311973
BaseRepresentation
bin11110000111101…
…01101000100001
3122121102200100000
433003311220201
51004140224403
641023250213
76155416524
oct1703655041
9577380300
10252664353
1111a693517
1270749969
1340466346
14257b0bbb
15172ad7a3
hexf0f5a21

252664353 has 48 divisors (see below), whose sum is σ = 413876736. Its totient is φ = 153342720.

The previous prime is 252664351. The next prime is 252664463. The reversal of 252664353 is 353466252.

252664353 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 643 + 5 + 3 = 666.

252664353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252664353 - 21 = 252664351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252664351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127075 + ... + 129047.

It is an arithmetic number, because the mean of its divisors is an integer number (8622432).

Almost surely, 2252664353 is an apocalyptic number.

It is an amenable number.

252664353 is a deficient number, since it is larger than the sum of its proper divisors (161212383).

252664353 is a wasteful number, since it uses less digits than its factorization.

252664353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2024 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 252664353 is about 15895.4192458079. The cubic root of 252664353 is about 632.1905378407.

The spelling of 252664353 in words is "two hundred fifty-two million, six hundred sixty-four thousand, three hundred fifty-three".

Divisors: 1 3 9 17 27 31 51 81 93 153 243 279 459 527 837 1377 1581 1973 2511 4131 4743 5919 7533 14229 17757 33541 42687 53271 61163 100623 128061 159813 183489 301869 479439 550467 905607 1039771 1651401 2716821 3119313 4954203 8150463 9357939 14862609 28073817 84221451 252664353