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252134652 = 2237111312083
BaseRepresentation
bin11110000011101…
…00010011111100
3122120102202201110
433001310103330
51004021302102
641004042020
76151052310
oct1701642374
9576382643
10252134652
1111a361550
1270533310
134030c203
14256b3b40
151720686c
hexf0744fc

252134652 has 96 divisors (see below), whose sum is σ = 739436544. Its totient is φ = 64958400.

The previous prime is 252134647. The next prime is 252134653. The reversal of 252134652 is 256431252.

It is a super-2 number, since 2×2521346522 = 127143765478322208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252134653) 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, 120003 + ... + 122085.

It is an arithmetic number, because the mean of its divisors is an integer number (7702464).

Almost surely, 2252134652 is an apocalyptic number.

252134652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252134652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369718272).

252134652 is an abundant number, since it is smaller than the sum of its proper divisors (487301892).

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

252134652 is a wasteful number, since it uses less digits than its factorization.

252134652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2237 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 252134652 is about 15878.7484393450. The cubic root of 252134652 is about 631.7484411164.

It can be divided in two parts, 2521 and 34652, that added together give a palindrome (37173).

The spelling of 252134652 in words is "two hundred fifty-two million, one hundred thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 131 132 154 231 262 308 393 462 524 786 917 924 1441 1572 1834 2083 2751 2882 3668 4166 4323 5502 5764 6249 8332 8646 10087 11004 12498 14581 17292 20174 22913 24996 29162 30261 40348 43743 45826 58324 60522 68739 87486 91652 121044 137478 160391 174972 272873 274956 320782 481173 545746 641564 818619 962346 1091492 1637238 1910111 1924692 3001603 3274476 3820222 5730333 6003206 7640444 9004809 11460666 12006412 18009618 21011221 22921332 36019236 42022442 63033663 84044884 126067326 252134652