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442902680 = 235117313789
BaseRepresentation
bin11010011001100…
…010100010011000
31010212101210020222
4122121202202120
51401340341210
6111540535212
713655416313
oct3231424230
91125353228
10442902680
11208009380
121043b1508
13709b33bc
1442b7197a
1528d3a655
hex1a662898

442902680 has 64 divisors (see below), whose sum is σ = 1102096800. Its totient is φ = 158837760.

The previous prime is 442902661. The next prime is 442902701. The reversal of 442902680 is 86209244.

It is a self number, because there is not a number n which added to its sum of digits gives 442902680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25226 + ... + 39014.

Almost surely, 2442902680 is an apocalyptic number.

442902680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442902680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551048400).

442902680 is an abundant number, since it is smaller than the sum of its proper divisors (659194120).

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

442902680 is a wasteful number, since it uses less digits than its factorization.

442902680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13884 (or 13880 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 442902680 is about 21045.2531464936. The cubic root of 442902680 is about 762.2593661529.

The spelling of 442902680 in words is "four hundred forty-two million, nine hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 13789 16060 27578 32120 55156 68945 110312 137890 151679 275780 303358 551560 606716 758395 1006597 1213432 1516790 2013194 3033580 4026388 5032985 6067160 8052776 10065970 11072567 20131940 22145134 40263880 44290268 55362835 88580536 110725670 221451340 442902680