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493034416 = 24731211673
BaseRepresentation
bin11101011000110…
…001101110110000
31021100201202001221
4131120301232300
52002204100131
6120531234424
715134503060
oct3530615660
91240652057
10493034416
1123333a066
12119148a14
137b1b6754
14496a13a0
152d43e411
hex1d631bb0

493034416 has 80 divisors (see below), whose sum is σ = 1133959168. Its totient is φ = 203212800.

The previous prime is 493034387. The next prime is 493034449. The reversal of 493034416 is 614430394.

It is a super-2 number, since 2×4930344162 = 486165870720922112, which contains 22 as substring.

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, 732256 + ... + 732928.

Almost surely, 2493034416 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 493034416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566979584).

493034416 is an abundant number, since it is smaller than the sum of its proper divisors (640924752).

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

493034416 is a wasteful number, since it uses less digits than its factorization.

493034416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 493034416 is about 22204.3783069916. The cubic root of 493034416 is about 789.9975516668.

The spelling of 493034416 in words is "four hundred ninety-three million, thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 211 217 248 422 434 496 673 844 868 1346 1477 1688 1736 2692 2954 3376 3472 4711 5384 5908 6541 9422 10768 11816 13082 18844 20863 23632 26164 37688 41726 45787 52328 75376 83452 91574 104656 142003 146041 166904 183148 284006 292082 333808 366296 568012 584164 732592 994021 1136024 1168328 1988042 2272048 2336656 3976084 4402093 7952168 8804186 15904336 17608372 30814651 35216744 61629302 70433488 123258604 246517208 493034416