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252601349 = 711131271987
BaseRepresentation
bin11110000111001…
…10010000000101
3122121022110220112
433003212100011
51004131220344
641022042405
76155035040
oct1703462005
9577273815
10252601349
1111a650150
1270719405
1340443770
1425795c57
1517299c9e
hexf0e6405

252601349 has 32 divisors (see below), whose sum is σ = 341999616. Its totient is φ = 180169920.

The previous prime is 252601319. The next prime is 252601367. The reversal of 252601349 is 943106252.

It is a happy number.

It is not a de Polignac number, because 252601349 - 216 = 252535813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252601319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126134 + ... + 128120.

It is an arithmetic number, because the mean of its divisors is an integer number (10687488).

Almost surely, 2252601349 is an apocalyptic number.

It is an amenable number.

252601349 is a deficient number, since it is larger than the sum of its proper divisors (89398267).

252601349 is a wasteful number, since it uses less digits than its factorization.

252601349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 252601349 is about 15893.4372934240. The cubic root of 252601349 is about 632.1379861144.

The spelling of 252601349 in words is "two hundred fifty-two million, six hundred one thousand, three hundred forty-nine".

Divisors: 1 7 11 13 77 91 127 143 889 1001 1397 1651 1987 9779 11557 13909 18161 21857 25831 127127 152999 180817 252349 284141 1766443 1988987 2775839 3280537 19430873 22963759 36085907 252601349