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875472 = 243132361
BaseRepresentation
bin11010101101111010000
31122110220220
43111233100
5211003342
630433040
710304253
oct3255720
91573826
10875472
11548834
12362780
13248640
1418b09a
151245ec
hexd5bd0

875472 has 80 divisors (see below), whose sum is σ = 2583168. Its totient is φ = 253440.

The previous prime is 875447. The next prime is 875477. The reversal of 875472 is 274578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14322 + ... + 14382.

2875472 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 875472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291584).

875472 is an abundant number, since it is smaller than the sum of its proper divisors (1707696).

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

875472 is a wasteful number, since it uses less digits than its factorization.

875472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 875472 is about 935.6666072913. Note that the first 4 decimals coincide. The cubic root of 875472 is about 95.6637542094.

The spelling of 875472 in words is "eight hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 61 69 78 92 104 122 138 156 183 184 208 244 276 299 312 366 368 488 552 598 624 732 793 897 976 1104 1196 1403 1464 1586 1794 2379 2392 2806 2928 3172 3588 4209 4758 4784 5612 6344 7176 8418 9516 11224 12688 14352 16836 18239 19032 22448 33672 36478 38064 54717 67344 72956 109434 145912 218868 291824 437736 875472