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264213992 = 23731152197
BaseRepresentation
bin11111011111110…
…01010111101000
3200102011110110102
433233321113220
51020114321432
642115004532
76355532120
oct1757712750
9612143412
10264213992
11126161979
1274599748
134297b353
1427139c80
15182e0962
hexfbf95e8

264213992 has 32 divisors (see below), whose sum is σ = 584440320. Its totient is φ = 109581120.

The previous prime is 264213991. The next prime is 264214009. The reversal of 264213992 is 299312462.

It is a happy number.

It is a super-3 number, since 3×2642139923 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (264213991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74363 + ... + 77834.

It is an arithmetic number, because the mean of its divisors is an integer number (18263760).

Almost surely, 2264213992 is an apocalyptic number.

It is an amenable number.

264213992 is an abundant number, since it is smaller than the sum of its proper divisors (320226328).

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

264213992 is a wasteful number, since it uses less digits than its factorization.

264213992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152241 (or 152237 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 264213992 is about 16254.6606239564. The cubic root of 264213992 is about 641.6801491592.

The spelling of 264213992 in words is "two hundred sixty-four million, two hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 152197 304394 608788 1065379 1217576 2130758 4261516 4718107 8523032 9436214 18872428 33026749 37744856 66053498 132106996 264213992