Search a number
-
+
631166496 = 25323927509
BaseRepresentation
bin100101100111101…
…101011000100000
31121222122120122220
4211213231120200
52243034311441
6142344031040
721432553362
oct4547553040
91558576586
10631166496
112a4305804
12157462480
13a09bb7cc
145db7ad32
153a627466
hex259ed620

631166496 has 48 divisors (see below), whose sum is σ = 1663804800. Its totient is φ = 209500928.

The previous prime is 631166449. The next prime is 631166521. The reversal of 631166496 is 694661136.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6311664962 = 796742291345836032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9190 + ... + 36698.

It is an arithmetic number, because the mean of its divisors is an integer number (34662600).

Almost surely, 2631166496 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 631166496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831902400).

631166496 is an abundant number, since it is smaller than the sum of its proper divisors (1032638304).

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

631166496 is a wasteful number, since it uses less digits than its factorization.

631166496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27761 (or 27753 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 631166496 is about 25123.0272061310. The cubic root of 631166496 is about 857.7906586063.

The spelling of 631166496 in words is "six hundred thirty-one million, one hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 27509 55018 82527 110036 165054 220072 330108 440144 660216 880288 1320432 2640864 6574651 13149302 19723953 26298604 39447906 52597208 78895812 105194416 157791624 210388832 315583248 631166496