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252495768 = 23374913061
BaseRepresentation
bin11110000110011…
…00011110011000
3122121010010002010
433003030132120
51004114331033
641015505520
76154115160
oct1703143630
9577103063
10252495768
1111a588898
12706882a0
13404076a5
14257695a0
1517278863
hexf0cc798

252495768 has 64 divisors (see below), whose sum is σ = 723121920. Its totient is φ = 71971200.

The previous prime is 252495743. The next prime is 252495821. The reversal of 252495768 is 867594252.

252495768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2524957682 = 127508225715819648, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80958 + ... + 84018.

It is an arithmetic number, because the mean of its divisors is an integer number (11298780).

Almost surely, 2252495768 is an apocalyptic number.

252495768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252495768 is an abundant number, since it is smaller than the sum of its proper divisors (470626152).

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

252495768 is a wasteful number, since it uses less digits than its factorization.

252495768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3564 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 252495768 is about 15890.1154180830. The cubic root of 252495768 is about 632.0499012566.

The spelling of 252495768 in words is "two hundred fifty-two million, four hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 491 982 1473 1964 2946 3061 3437 3928 5892 6122 6874 9183 10311 11784 12244 13748 18366 20622 21427 24488 27496 36732 41244 42854 64281 73464 82488 85708 128562 171416 257124 514248 1502951 3005902 4508853 6011804 9017706 10520657 12023608 18035412 21041314 31561971 36070824 42082628 63123942 84165256 126247884 252495768