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264163146 = 23132924027
BaseRepresentation
bin11111011111011…
…00111101001010
3200102001212201020
433233230331022
51020111210041
642113533310
76355230642
oct1757547512
9612055636
10264163146
11126127755
1274574236
1342961170
1427125522
15182d0866
hexfbecf4a

264163146 has 48 divisors (see below), whose sum is σ = 589409184. Its totient is φ = 78458688.

The previous prime is 264163139. The next prime is 264163157. The reversal of 264163146 is 641361462.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63585 + ... + 67611.

It is an arithmetic number, because the mean of its divisors is an integer number (12279358).

Almost surely, 2264163146 is an apocalyptic number.

264163146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 264163146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294704592).

264163146 is an abundant number, since it is smaller than the sum of its proper divisors (325246038).

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

264163146 is a wasteful number, since it uses less digits than its factorization.

264163146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4074 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 264163146 is about 16253.0965049741. The cubic root of 264163146 is about 641.6389843420.

The spelling of 264163146 in words is "two hundred sixty-four million, one hundred sixty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 841 1131 1682 2262 2523 4027 5046 8054 10933 12081 21866 24162 32799 52351 65598 104702 116783 157053 233566 314106 350349 700698 1518179 3036358 3386707 4554537 6773414 9109074 10160121 20320242 44027191 88054382 132081573 264163146