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496128 = 2931719
BaseRepresentation
bin1111001001000000000
3221012120010
41321020000
5111334003
614344520
74134303
oct1711000
9835503
10496128
11309826
121bb140
13144a89
14ccb3a
159c003
hex79200

496128 has 80 divisors (see below), whose sum is σ = 1473120. Its totient is φ = 147456.

The previous prime is 496127. The next prime is 496163. The reversal of 496128 is 821694.

496128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4961282 = 492285984768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 496095 and 496104.

It is not an unprimeable number, because it can be changed into a prime (496123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26103 + ... + 26121.

It is an arithmetic number, because the mean of its divisors is an integer number (18414).

2496128 is an apocalyptic number.

496128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560).

496128 is an abundant number, since it is smaller than the sum of its proper divisors (976992).

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

496128 is a wasteful number, since it uses less digits than its factorization.

496128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 496128 is about 704.3635424978. The cubic root of 496128 is about 79.1646408838.

The spelling of 496128 in words is "four hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 456 512 544 608 646 768 816 912 969 1088 1216 1292 1536 1632 1824 1938 2176 2432 2584 3264 3648 3876 4352 4864 5168 6528 7296 7752 8704 9728 10336 13056 14592 15504 20672 26112 29184 31008 41344 62016 82688 124032 165376 248064 496128