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252904020 = 223510693943
BaseRepresentation
bin11110001001100…
…00001001010100
3122121212212002120
433010300021110
51004220412040
641032335540
76160435335
oct1704601124
9577785076
10252904020
1111a837596
12708445b0
134051b465
142583428c
15173097d0
hexf130254

252904020 has 48 divisors (see below), whose sum is σ = 708973440. Its totient is φ = 67360896.

The previous prime is 252904013. The next prime is 252904033. The reversal of 252904020 is 20409252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62169 + ... + 66111.

It is an arithmetic number, because the mean of its divisors is an integer number (14770280).

Almost surely, 2252904020 is an apocalyptic number.

252904020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252904020 is an abundant number, since it is smaller than the sum of its proper divisors (456069420).

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

252904020 is a wasteful number, since it uses less digits than its factorization.

252904020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 252904020 is about 15902.9563289346. The cubic root of 252904020 is about 632.3903646413.

The spelling of 252904020 in words is "two hundred fifty-two million, nine hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1069 2138 3207 3943 4276 5345 6414 7886 10690 11829 12828 15772 16035 19715 21380 23658 32070 39430 47316 59145 64140 78860 118290 236580 4215067 8430134 12645201 16860268 21075335 25290402 42150670 50580804 63226005 84301340 126452010 252904020