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252510104 = 23711439533
BaseRepresentation
bin11110000110011…
…11111110011000
3122121010211202002
433003033332120
51004120310404
641020100132
76154205030
oct1703177630
9577124662
10252510104
1111a598640
1270694648
1340411082
14257708c0
151727cc1e
hexf0cff98

252510104 has 64 divisors (see below), whose sum is σ = 604074240. Its totient is φ = 96082560.

The previous prime is 252510079. The next prime is 252510113. The reversal of 252510104 is 401015252.

It is a super-2 number, since 2×2525101042 = 127522705244181632, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21722 + ... + 31254.

It is an arithmetic number, because the mean of its divisors is an integer number (9438660).

Almost surely, 2252510104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252510104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302037120).

252510104 is an abundant number, since it is smaller than the sum of its proper divisors (351564136).

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

252510104 is a wasteful number, since it uses less digits than its factorization.

252510104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 252510104 is about 15890.5665097252. The cubic root of 252510104 is about 632.0618630359.

Adding to 252510104 its reverse (401015252), we get a palindrome (653525356).

The spelling of 252510104 in words is "two hundred fifty-two million, five hundred ten thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 602 616 946 1204 1892 2408 3311 3784 6622 9533 13244 19066 26488 38132 66731 76264 104863 133462 209726 266924 409919 419452 533848 734041 819838 838904 1468082 1639676 2869433 2936164 3279352 4509109 5738866 5872328 9018218 11477732 18036436 22955464 31563763 36072872 63127526 126255052 252510104