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442233056 = 25191096673
BaseRepresentation
bin11010010110111…
…111000011100000
31010211010202201002
4122112333003200
51401202424211
6111514331132
713646630126
oct3226770340
91124122632
10442233056
112076a1271
12104129aa8
137080a685
1442a39916
1528c5703b
hex1a5bf0e0

442233056 has 48 divisors (see below), whose sum is σ = 925016400. Its totient is φ = 207525888.

The previous prime is 442233049. The next prime is 442233067. The reversal of 442233056 is 650332244.

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, 62936 + ... + 69608.

It is an arithmetic number, because the mean of its divisors is an integer number (19271175).

Almost surely, 2442233056 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 442233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462508200).

442233056 is an abundant number, since it is smaller than the sum of its proper divisors (482783344).

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

442233056 is a wasteful number, since it uses less digits than its factorization.

442233056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 442233056 is about 21029.3379829228. The cubic root of 442233056 is about 761.8750194005.

The spelling of 442233056 in words is "four hundred forty-two million, two hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 109 152 218 304 436 608 872 1744 2071 3488 4142 6673 8284 13346 16568 26692 33136 53384 66272 106768 126787 213536 253574 507148 727357 1014296 1454714 2028592 2909428 4057184 5818856 11637712 13819783 23275424 27639566 55279132 110558264 221116528 442233056