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463969856 = 2678111277
BaseRepresentation
bin11011101001111…
…001111001000000
31012100001002222202
4123221321321000
51422234013411
6114012252332
714332451540
oct3351717100
91170032882
10463969856
11218998469
1210b4710a8
137517b49c
1445897320
152aaec83b
hex1ba79e40

463969856 has 56 divisors (see below), whose sum is σ = 1054339776. Its totient is φ = 198443520.

The previous prime is 463969829. The next prime is 463969859. The reversal of 463969856 is 658969364.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (463969859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362690 + ... + 363966.

It is an arithmetic number, because the mean of its divisors is an integer number (18827496).

Almost surely, 2463969856 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 463969856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527169888).

463969856 is an abundant number, since it is smaller than the sum of its proper divisors (590369920).

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

463969856 is a wasteful number, since it uses less digits than its factorization.

463969856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2097 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 56.

The square root of 463969856 is about 21539.9595171393. The cubic root of 463969856 is about 774.1585628623.

The spelling of 463969856 in words is "four hundred sixty-three million, nine hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 811 1277 1622 2554 3244 5108 5677 6488 8939 10216 11354 12976 17878 20432 22708 25952 35756 40864 45416 51904 71512 81728 90832 143024 181664 286048 363328 572096 1035647 2071294 4142588 7249529 8285176 14499058 16570352 28998116 33140704 57996232 66281408 115992464 231984928 463969856