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252690336 = 2532877397
BaseRepresentation
bin11110000111110…
…11111110100000
3122121110222222100
433003323332200
51004142042321
641024010400
76155555343
oct1703737640
9577428870
10252690336
1111a700a98
1270760a00
1340475112
14257ba45a
15172b6326
hexf0fbfa0

252690336 has 36 divisors (see below), whose sum is σ = 718588962. Its totient is φ = 84230016.

The previous prime is 252690323. The next prime is 252690337. The reversal of 252690336 is 633096252.

It can be written as a sum of positive squares in only one way, i.e., 145443600 + 107246736 = 12060^2 + 10356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 252690336.

It is not an unprimeable number, because it can be changed into a prime (252690337) 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 5 ways as a sum of consecutive naturals, for example, 438411 + ... + 438986.

Almost surely, 2252690336 is an apocalyptic number.

It is an amenable number.

252690336 is an abundant number, since it is smaller than the sum of its proper divisors (465898626).

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

252690336 is a wasteful number, since it uses less digits than its factorization.

252690336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877413 (or 877402 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 252690336 is about 15896.2365357339. The cubic root of 252690336 is about 632.2122077538.

The spelling of 252690336 in words is "two hundred fifty-two million, six hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 877397 1754794 2632191 3509588 5264382 7019176 7896573 10528764 14038352 15793146 21057528 28076704 31586292 42115056 63172584 84230112 126345168 252690336