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442456614 = 23331534987
BaseRepresentation
bin11010010111110…
…101101000100110
31010211120010101000
4122113311220212
51401232102424
6111523214130
713651550655
oct3227655046
91124503330
10442456614
11207834226
12104217346
1370888362
1442a9719c
1528c9d3c9
hex1a5f5a26

442456614 has 64 divisors (see below), whose sum is σ = 1034311680. Its totient is φ = 140006880.

The previous prime is 442456613. The next prime is 442456631. The reversal of 442456614 is 416654244.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442456613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86229 + ... + 91215.

It is an arithmetic number, because the mean of its divisors is an integer number (16161120).

Almost surely, 2442456614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442456614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517155840).

442456614 is an abundant number, since it is smaller than the sum of its proper divisors (591855066).

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

442456614 is a wasteful number, since it uses less digits than its factorization.

442456614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5076 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 442456614 is about 21034.6526950173. The cubic root of 442456614 is about 762.0033789918.

The spelling of 442456614 in words is "four hundred forty-two million, four hundred fifty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 93 106 159 186 279 318 477 558 837 954 1431 1643 1674 2862 3286 4929 4987 9858 9974 14787 14961 29574 29922 44361 44883 88722 89766 134649 154597 264311 269298 309194 463791 528622 792933 927582 1391373 1585866 2378799 2782746 4174119 4757598 7136397 8193641 8348238 14272794 16387282 24580923 49161846 73742769 147485538 221228307 442456614