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460421442 = 233136171063
BaseRepresentation
bin11011011100010…
…111100101000010
31012002100211111000
4123130113211002
51420331441232
6113404232430
714260342365
oct3334274502
91162324430
10460421442
11216994498
1210a23b716
1374508330
14452120dc
152a64b27c
hex1b717942

460421442 has 64 divisors (see below), whose sum is σ = 1104687360. Its totient is φ = 141305472.

The previous prime is 460421419. The next prime is 460421443. The reversal of 460421442 is 244124064.

It is a happy number.

460421442 is a `hidden beast` number, since 4 + 604 + 2 + 14 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (460421443) 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, 432603 + ... + 433665.

It is an arithmetic number, because the mean of its divisors is an integer number (17260740).

Almost surely, 2460421442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460421442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552343680).

460421442 is an abundant number, since it is smaller than the sum of its proper divisors (644265918).

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

460421442 is a wasteful number, since it uses less digits than its factorization.

460421442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 460421442 is about 21457.4332574984. The cubic root of 460421442 is about 772.1799371617.

The spelling of 460421442 in words is "four hundred sixty million, four hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 617 702 1063 1234 1851 2126 3189 3702 5553 6378 8021 9567 11106 13819 16042 16659 19134 24063 27638 28701 33318 41457 48126 57402 72189 82914 124371 144378 216567 248742 373113 433134 655871 746226 1311742 1967613 3935226 5902839 8526323 11805678 17052646 17708517 25578969 35417034 51157938 76736907 153473814 230210721 460421442