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252314465 = 5133103223
BaseRepresentation
bin11110000101000…
…00001101100001
3122120202220101012
433002200031201
51004043030330
641011550305
76152431454
oct1702401541
9576686335
10252314465
1111a474657
12705bb395
1340373000
142571d49b
151723ec95
hexf0a0361

252314465 has 32 divisors (see below), whose sum is σ = 332666880. Its totient is φ = 183688128.

The previous prime is 252314443. The next prime is 252314467. The reversal of 252314465 is 564413252.

It is not a de Polignac number, because 252314465 - 216 = 252248929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252314467) 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 31 ways as a sum of consecutive naturals, for example, 1131344 + ... + 1131566.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 2252314465 is an apocalyptic number.

It is an amenable number.

252314465 is a deficient number, since it is larger than the sum of its proper divisors (80352415).

252314465 is a wasteful number, since it uses less digits than its factorization.

252314465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 344 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 252314465 is about 15884.4094948475. The cubic root of 252314465 is about 631.8985852133.

The spelling of 252314465 in words is "two hundred fifty-two million, three hundred fourteen thousand, four hundred sixty-five".

Divisors: 1 5 13 65 103 169 223 515 845 1115 1339 2197 2899 6695 10985 14495 17407 22969 37687 87035 114845 188435 226291 298597 489931 1131455 1492985 2449655 3881761 19408805 50462893 252314465