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795872 = 257111719
BaseRepresentation
bin11000010010011100000
31111102201202
43002103200
5200431442
625020332
76523220
oct3022340
91442652
10795872
114a3a50
123246a8
1321b33c
1416a080
1510ac32
hexc24e0

795872 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 276480.

The previous prime is 795871. The next prime is 795877. The reversal of 795872 is 278597.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (35280) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41879 + ... + 41897.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2795872 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 795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

795872 is an abundant number, since it is smaller than the sum of its proper divisors (1381408).

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

795872 is a wasteful number, since it uses less digits than its factorization.

795872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 795872 is about 892.1165843095. The cubic root of 795872 is about 92.6718305928.

The spelling of 795872 in words is "seven hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 17 19 22 28 32 34 38 44 56 68 76 77 88 112 119 133 136 152 154 176 187 209 224 238 266 272 304 308 323 352 374 418 476 532 544 608 616 646 748 836 952 1064 1232 1292 1309 1463 1496 1672 1904 2128 2261 2464 2584 2618 2926 2992 3344 3553 3808 4256 4522 5168 5236 5852 5984 6688 7106 9044 10336 10472 11704 14212 18088 20944 23408 24871 28424 36176 41888 46816 49742 56848 72352 99484 113696 198968 397936 795872