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252579228 = 2231113713967
BaseRepresentation
bin11110000111000…
…00110110011100
3122121021100120020
433003200312130
51004130013403
641021352140
76154613406
oct1703406634
9577240506
10252579228
1111a635570
1270708650
1340436685
142578bb76
1517293453
hexf0e0d9c

252579228 has 48 divisors (see below), whose sum is σ = 647668224. Its totient is φ = 75975040.

The previous prime is 252579221. The next prime is 252579247. The reversal of 252579228 is 822975252.

252579228 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252579228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252579221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11101 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (13493088).

Almost surely, 2252579228 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 252579228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323834112).

252579228 is an abundant number, since it is smaller than the sum of its proper divisors (395088996).

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

252579228 is a wasteful number, since it uses less digits than its factorization.

252579228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14122 (or 14120 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 252579228 is about 15892.7413620181. The cubic root of 252579228 is about 632.1195328840.

The spelling of 252579228 in words is "two hundred fifty-two million, five hundred seventy-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 9042 13967 18084 27934 41901 55868 83802 153637 167604 307274 460911 614548 921822 1843644 1913479 3826958 5740437 7653916 11480874 21048269 22961748 42096538 63144807 84193076 126289614 252579228