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496496 = 247111331
BaseRepresentation
bin1111001001101110000
3221020001202
41321031300
5111341441
614350332
74135340
oct1711560
9836052
10496496
1130a030
121bb3a8
13144cb0
14ccd20
159c19b
hex79370

496496 has 80 divisors (see below), whose sum is σ = 1333248. Its totient is φ = 172800.

The previous prime is 496493. The next prime is 496499. The reversal of 496496 is 694694.

It is an interprime number because it is at equal distance from previous prime (496493) and next prime (496499).

Its product of digits (46656) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16001 + ... + 16031.

2496496 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 496496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624).

496496 is an abundant number, since it is smaller than the sum of its proper divisors (836752).

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

496496 is a wasteful number, since it uses less digits than its factorization.

496496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 496496 is about 704.6247228135. The cubic root of 496496 is about 79.1842093472.

The spelling of 496496 in words is "four hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 31 44 52 56 62 77 88 91 104 112 124 143 154 176 182 208 217 248 286 308 341 364 403 434 496 572 616 682 728 806 868 1001 1144 1232 1364 1456 1612 1736 2002 2288 2387 2728 2821 3224 3472 4004 4433 4774 5456 5642 6448 8008 8866 9548 11284 16016 17732 19096 22568 31031 35464 38192 45136 62062 70928 124124 248248 496496