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464928856 = 237210111743
BaseRepresentation
bin11011101101100…
…100000001011000
31012101211211111021
4123231210001120
51423010210411
6114045012224
714343554500
oct3355440130
91171754437
10464928856
11219492a27
1210b854074
1375425b42
1445a66a00
152ac3ba71
hex1bb64058

464928856 has 48 divisors (see below), whose sum is σ = 1024194240. Its totient is φ = 197265600.

The previous prime is 464928847. The next prime is 464928881. The reversal of 464928856 is 658829464.

It is a super-2 number, since 2×4649288562 = 432317682282937472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33721 + ... + 45463.

It is an arithmetic number, because the mean of its divisors is an integer number (21337380).

Almost surely, 2464928856 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 464928856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512097120).

464928856 is an abundant number, since it is smaller than the sum of its proper divisors (559265384).

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

464928856 is a wasteful number, since it uses less digits than its factorization.

464928856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11853 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The square root of 464928856 is about 21562.2089777462. The cubic root of 464928856 is about 774.6915767542.

The spelling of 464928856 in words is "four hundred sixty-four million, nine hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1414 2828 4949 5656 9898 11743 19796 23486 39592 46972 82201 93944 164402 328804 575407 657608 1150814 1186043 2301628 2372086 4603256 4744172 8302301 9488344 16604602 33209204 58116107 66418408 116232214 232464428 464928856