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442613056 = 26191812011
BaseRepresentation
bin11010011000011…
…011110101000000
31010211212001222011
4122120123311000
51401302104211
6111530422304
713653102034
oct3230336500
91124761864
10442613056
11207930816
12104291994
1370911622
1442ad81c4
1528cce921
hex1a61bd40

442613056 has 56 divisors (see below), whose sum is σ = 930107360. Its totient is φ = 208396800.

The previous prime is 442613029. The next prime is 442613069. The reversal of 442613056 is 650316244.

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 7 ways as a sum of consecutive naturals, for example, 219091 + ... + 221101.

It is an arithmetic number, because the mean of its divisors is an integer number (16609060).

Almost surely, 2442613056 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 442613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465053680).

442613056 is an abundant number, since it is smaller than the sum of its proper divisors (487494304).

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

442613056 is a wasteful number, since it uses less digits than its factorization.

442613056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 442613056 is about 21038.3710396029. The cubic root of 442613056 is about 762.0931770885.

The spelling of 442613056 in words is "four hundred forty-two million, six hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 181 304 362 608 724 1216 1448 2011 2896 3439 4022 5792 6878 8044 11584 13756 16088 27512 32176 38209 55024 64352 76418 110048 128704 152836 220096 305672 363991 611344 727982 1222688 1455964 2445376 2911928 5823856 6915829 11647712 13831658 23295424 27663316 55326632 110653264 221306528 442613056