Search a number
-
+
464861056 = 27111719421
BaseRepresentation
bin11011101101010…
…011011110000000
31012101201101111011
4123231103132000
51423001023211
6114043330304
714343153022
oct3355233600
91171641434
10464861056
11219446aa0
1210b820994
137540101a
1445a4a012
152ac26921
hex1bb53780

464861056 has 64 divisors (see below), whose sum is σ = 1069763760. Its totient is φ = 198860800.

The previous prime is 464861029. The next prime is 464861071. The reversal of 464861056 is 650168464.

It is a happy number.

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

It is a congruent number.

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, 14226 + ... + 33646.

Almost surely, 2464861056 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 464861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534881880).

464861056 is an abundant number, since it is smaller than the sum of its proper divisors (604902704).

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

464861056 is a wasteful number, since it uses less digits than its factorization.

464861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19463 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 464861056 is about 21560.6367252918. The cubic root of 464861056 is about 774.6539174854.

The spelling of 464861056 in words is "four hundred sixty-four million, eight hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 19421 23936 38842 77684 155368 213631 310736 330157 427262 621472 660314 854524 1242944 1320628 1709048 2485888 2641256 3418096 3631727 5282512 6836192 7263454 10565024 13672384 14526908 21130048 27344768 29053816 42260096 58107632 116215264 232430528 464861056