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252333040 = 24517185539
BaseRepresentation
bin11110000101001…
…00101111110000
3122120210211212011
433002210233300
51004044124130
641012212304
76152536561
oct1702445760
9576724764
10252333040
1111a487603
127060a094
134037b5bb
1425726168
151724552a
hexf0a4bf0

252333040 has 40 divisors (see below), whose sum is σ = 621187920. Its totient is φ = 94995456.

The previous prime is 252333017. The next prime is 252333043. The reversal of 252333040 is 40333252.

252333040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252333043) 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, 91410 + ... + 94129.

It is an arithmetic number, because the mean of its divisors is an integer number (15529698).

Almost surely, 2252333040 is an apocalyptic number.

252333040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252333040 is an abundant number, since it is smaller than the sum of its proper divisors (368854880).

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

252333040 is a wasteful number, since it uses less digits than its factorization.

252333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185569 (or 185563 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 252333040 is about 15884.9941768954. The cubic root of 252333040 is about 631.9140912978.

Adding to 252333040 its reverse (40333252), we get a palindrome (292666292).

The spelling of 252333040 in words is "two hundred fifty-two million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 185539 371078 742156 927695 1484312 1855390 2968624 3154163 3710780 6308326 7421560 12616652 14843120 15770815 25233304 31541630 50466608 63083260 126166520 252333040