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252124300 = 225219132697
BaseRepresentation
bin11110000011100…
…01110010001100
3122120102020112001
433001301302030
51004020434200
641003522044
76151010161
oct1701616214
9576366461
10252124300
1111a35479a
1270529324
134030759c
14256b0068
151720376a
hexf071c8c

252124300 has 36 divisors (see below), whose sum is σ = 575909320. Its totient is φ = 95541120.

The previous prime is 252124291. The next prime is 252124373. The reversal of 252124300 is 3421252.

252124300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64449 + ... + 68248.

Almost surely, 2252124300 is an apocalyptic number.

252124300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252124300 is an abundant number, since it is smaller than the sum of its proper divisors (323785020).

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

252124300 is a wasteful number, since it uses less digits than its factorization.

252124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132730 (or 132723 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 252124300 is about 15878.4224657237. The cubic root of 252124300 is about 631.7397950097.

Adding to 252124300 its reverse (3421252), we get a palindrome (255545552).

The spelling of 252124300 in words is "two hundred fifty-two million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 132697 265394 530788 663485 1326970 2521243 2653940 3317425 5042486 6634850 10084972 12606215 13269700 25212430 50424860 63031075 126062150 252124300