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252536500 = 2253505073
BaseRepresentation
bin11110000110101…
…10011010110100
3122121012011221201
433003112122310
51004122132000
641020422244
76154345006
oct1703263264
9577164851
10252536500
1111a606457
12706a7984
13404200a8
142577a376
151728596a
hexf0d66b4

252536500 has 24 divisors (see below), whose sum is σ = 551540808. Its totient is φ = 101014400.

The previous prime is 252536491. The next prime is 252536503. The reversal of 252536500 is 5635252.

It can be written as a sum of positive squares in 4 ways, for example, as 79245604 + 173290896 = 8902^2 + 13164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252536503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252037 + ... + 253036.

It is an arithmetic number, because the mean of its divisors is an integer number (22980867).

Almost surely, 2252536500 is an apocalyptic number.

252536500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252536500 is an abundant number, since it is smaller than the sum of its proper divisors (299004308).

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

252536500 is a wasteful number, since it uses less digits than its factorization.

252536500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505092 (or 505080 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 252536500 is about 15891.3970436837. The cubic root of 252536500 is about 632.0838863442.

The spelling of 252536500 in words is "two hundred fifty-two million, five hundred thirty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 505073 1010146 2020292 2525365 5050730 10101460 12626825 25253650 50507300 63134125 126268250 252536500