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252541332 = 223246115217
BaseRepresentation
bin11110000110101…
…11100110010100
3122121012102120200
433003113212110
51004122310312
641020500500
76154365051
oct1703274624
9577172520
10252541332
1111a60a04a
12706aa730
1340422354
142577c028
15172870dc
hexf0d7994

252541332 has 36 divisors (see below), whose sum is σ = 639795156. Its totient is φ = 83992320.

The previous prime is 252541319. The next prime is 252541349. The reversal of 252541332 is 233145252.

It is a happy number.

252541332 is a `hidden beast` number, since 2 + 525 + 4 + 133 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152621316 + 99920016 = 12354^2 + 9996^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 252541296 and 252541305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8988 + ... + 24204.

Almost surely, 2252541332 is an apocalyptic number.

It is an amenable number.

252541332 is an abundant number, since it is smaller than the sum of its proper divisors (387253824).

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

252541332 is a wasteful number, since it uses less digits than its factorization.

252541332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15688 (or 15683 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 252541332 is about 15891.5490749014. The cubic root of 252541332 is about 632.0879177216.

Adding to 252541332 its reverse (233145252), we get a palindrome (485686584).

The spelling of 252541332 in words is "two hundred fifty-two million, five hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 4149 5532 8298 15217 16596 30434 45651 60868 91302 136953 182604 273906 547812 7015037 14030074 21045111 28060148 42090222 63135333 84180444 126270666 252541332