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494020944 = 2435612083
BaseRepresentation
bin11101011100100…
…010100101010000
31021102120212100000
4131130202211100
52002432132234
6121004330000
715146052204
oct3534424520
91242525300
10494020944
1123395327a
12119543900
137b4707b1
144987ab04
152d586899
hex1d722950

494020944 has 120 divisors (see below), whose sum is σ = 1457983072. Its totient is φ = 161896320.

The previous prime is 494020939. The next prime is 494020951. The reversal of 494020944 is 449020494.

It is a happy number.

It is a super-2 number, since 2×4940209442 = 488113386221302272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 494020899 and 494020908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236127 + ... + 238209.

Almost surely, 2494020944 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 494020944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728991536).

494020944 is an abundant number, since it is smaller than the sum of its proper divisors (963962128).

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

494020944 is a wasteful number, since it uses less digits than its factorization.

494020944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 494020944 is about 22226.5819234537. The cubic root of 494020944 is about 790.5241108986.

The spelling of 494020944 in words is "four hundred ninety-four million, twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 732 972 976 1098 1296 1464 1647 1944 2083 2196 2928 3294 3888 4166 4392 4941 6249 6588 8332 8784 9882 12498 13176 14823 16664 18747 19764 24996 26352 29646 33328 37494 39528 49992 56241 59292 74988 79056 99984 112482 118584 127063 149976 168723 224964 237168 254126 299952 337446 381189 449928 506169 508252 674892 762378 899856 1012338 1016504 1143567 1349784 1524756 2024676 2033008 2287134 2699568 3049512 3430701 4049352 4574268 6099024 6861402 8098704 9148536 10292103 13722804 18297072 20584206 27445608 30876309 41168412 54891216 61752618 82336824 123505236 164673648 247010472 494020944