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442626704 = 24132817573
BaseRepresentation
bin11010011000011…
…111001010010000
31010211212202200122
4122120133022100
51401303023304
6111531005412
713653156602
oct3230371220
91124782618
10442626704
1120793aaa3
12104299868
13709178c0
1442add172
1528cd39be
hex1a61f290

442626704 has 40 divisors (see below), whose sum is σ = 926966712. Its totient is φ = 203535360.

The previous prime is 442626677. The next prime is 442626713. The reversal of 442626704 is 407626244.

It can be written as a sum of positive squares in 4 ways, for example, as 165071104 + 277555600 = 12848^2 + 16660^2 .

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, 54662 + ... + 62234.

Almost surely, 2442626704 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 442626704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463483356).

442626704 is an abundant number, since it is smaller than the sum of its proper divisors (484340008).

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

442626704 is a wasteful number, since it uses less digits than its factorization.

442626704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 442626704 is about 21038.6953968158. The cubic root of 442626704 is about 762.1010100709.

The spelling of 442626704 in words is "four hundred forty-two million, six hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 281 562 1124 2248 3653 4496 7306 7573 14612 15146 29224 30292 58448 60584 98449 121168 196898 393796 787592 1575184 2128013 4256026 8512052 17024104 27664169 34048208 55328338 110656676 221313352 442626704