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252982368 = 2532878411
BaseRepresentation
bin11110001010000…
…11010001100000
3122122000211120100
433011003101200
51004230413433
641034142400
76161212632
oct1705032140
9578024510
10252982368
1111a890441
1270881a00
1340548012
1425854a52
1517322b13
hexf143460

252982368 has 36 divisors (see below), whose sum is σ = 719419428. Its totient is φ = 84327360.

The previous prime is 252982343. The next prime is 252982369. The reversal of 252982368 is 863289252.

It is a happy number.

252982368 is digitally balanced in base 3, 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 (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252982369) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 438918 + ... + 439493.

It is an arithmetic number, because the mean of its divisors is an integer number (19983873).

Almost surely, 2252982368 is an apocalyptic number.

It is an amenable number.

252982368 is an abundant number, since it is smaller than the sum of its proper divisors (466437060).

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

252982368 is a wasteful number, since it uses less digits than its factorization.

252982368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878427 (or 878416 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 252982368 is about 15905.4194537585. The cubic root of 252982368 is about 632.4556613558.

The spelling of 252982368 in words is "two hundred fifty-two million, nine hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 878411 1756822 2635233 3513644 5270466 7027288 7905699 10540932 14054576 15811398 21081864 28109152 31622796 42163728 63245592 84327456 126491184 252982368