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795264 = 27319109
BaseRepresentation
bin11000010001010000000
31111101220020
43002022000
5200422024
625013440
76521361
oct3021200
91441806
10795264
114a3548
12324280
1321ac92
14169b68
1510a979
hexc2280

795264 has 64 divisors (see below), whose sum is σ = 2244000. Its totient is φ = 248832.

The previous prime is 795253. The next prime is 795299. The reversal of 795264 is 462597.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

795264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7242 + ... + 7350.

2795264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122000).

795264 is an abundant number, since it is smaller than the sum of its proper divisors (1448736).

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

795264 is a wasteful number, since it uses less digits than its factorization.

795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 795264 is about 891.7757565666. The cubic root of 795264 is about 92.6482259483.

The spelling of 795264 in words is "seven hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 109 114 128 152 192 218 228 304 327 384 436 456 608 654 872 912 1216 1308 1744 1824 2071 2432 2616 3488 3648 4142 5232 6213 6976 7296 8284 10464 12426 13952 16568 20928 24852 33136 41856 49704 66272 99408 132544 198816 265088 397632 795264