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442086612 = 2231143711097
BaseRepresentation
bin11010010110011…
…011010011010100
31010210212022211020
4122112123103110
51401133232422
6111511241140
713645450152
oct3226332324
91123768736
10442086612
11207601240
121040791b0
1370788b16
14429dc3d2
1528c2895c
hex1a59b4d4

442086612 has 96 divisors (see below), whose sum is σ = 1168763904. Its totient is φ = 128889600.

The previous prime is 442086599. The next prime is 442086637. The reversal of 442086612 is 216680244.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402448 + ... + 403544.

It is an arithmetic number, because the mean of its divisors is an integer number (12174624).

Almost surely, 2442086612 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 442086612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584381952).

442086612 is an abundant number, since it is smaller than the sum of its proper divisors (726677292).

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

442086612 is a wasteful number, since it uses less digits than its factorization.

442086612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 442086612 is about 21025.8557970894. The cubic root of 442086612 is about 761.7909126596.

The spelling of 442086612 in words is "four hundred forty-two million, eighty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 71 86 129 132 142 172 213 258 284 426 473 516 781 852 946 1097 1419 1562 1892 2194 2343 2838 3053 3124 3291 4388 4686 5676 6106 6582 9159 9372 12067 12212 13164 18318 24134 33583 36201 36636 47171 48268 67166 72402 77887 94342 100749 134332 141513 144804 155774 188684 201498 233661 283026 311548 402996 467322 518881 566052 856757 934644 1037762 1556643 1713514 2075524 2570271 3113286 3349141 3427028 5140542 6226572 6698282 10047423 10281084 13396564 20094846 36840551 40189692 73681102 110521653 147362204 221043306 442086612