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252564949 = 71361173263
BaseRepresentation
bin11110000110111…
…01010111010101
3122121020121222101
433003131113111
51004124034244
641021202101
76154523650
oct1703352725
9577217871
10252564949
1111a62586a
1270700331
1340430020
1425786897
151728e0d4
hexf0dd5d5

252564949 has 32 divisors (see below), whose sum is σ = 318979584. Its totient is φ = 194676480.

The previous prime is 252564931. The next prime is 252564953. The reversal of 252564949 is 949465252.

It is a cyclic number.

It is not a de Polignac number, because 252564949 - 217 = 252433877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252564899 and 252564908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252564919) 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 31 ways as a sum of consecutive naturals, for example, 960192 + ... + 960454.

It is an arithmetic number, because the mean of its divisors is an integer number (9968112).

Almost surely, 2252564949 is an apocalyptic number.

It is an amenable number.

252564949 is a deficient number, since it is larger than the sum of its proper divisors (66414635).

252564949 is a wasteful number, since it uses less digits than its factorization.

252564949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its digits is 777600, while the sum is 46.

The square root of 252564949 is about 15892.2921254299. The cubic root of 252564949 is about 632.1076208397.

The spelling of 252564949 in words is "two hundred fifty-two million, five hundred sixty-four thousand, nine hundred forty-nine".

Divisors: 1 7 13 61 91 173 263 427 793 1211 1841 2249 3419 5551 10553 15743 16043 23933 45499 73871 112301 137189 208559 318493 591487 960323 1459913 2775439 4140409 19428073 36080707 252564949