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442204664 = 231121014523
BaseRepresentation
bin11010010110111…
…000000111111000
31010211002022202112
4122112320013320
51401201022124
6111513551452
713646451266
oct3226700770
91124068675
10442204664
11207681a00
12104115588
13707ca785
1442a2d436
1528c4d90e
hex1a5b81f8

442204664 has 48 divisors (see below), whose sum is σ = 920588760. Its totient is φ = 198968000.

The previous prime is 442204621. The next prime is 442204691. The reversal of 442204664 is 466402244.

It is a self number, because there is not a number n which added to its sum of digits gives 442204664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95507 + ... + 100029.

Almost surely, 2442204664 is an apocalyptic number.

442204664 is a gapful number since it is divisible by the number (44) 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 442204664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460294380).

442204664 is an abundant number, since it is smaller than the sum of its proper divisors (478384096).

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

442204664 is a wasteful number, since it uses less digits than its factorization.

442204664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 442204664 is about 21028.6629151737. The cubic root of 442204664 is about 761.8587145598.

It can be divided in two parts, 44220 and 4664, that added together give a palindrome (48884).

The spelling of 442204664 in words is "four hundred forty-two million, two hundred four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 4523 8888 9046 12221 18092 24442 36184 48884 49753 97768 99506 199012 398024 456823 547283 913646 1094566 1827292 2189132 3654584 4378264 5025053 10050106 20100212 40200424 55275583 110551166 221102332 442204664