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496743828 = 223719547569
BaseRepresentation
bin11101100110111…
…011010110010100
31021121201012102120
4131212323112110
52004131300303
6121142535540
715211152510
oct3546732624
91247635376
10496743828
11235442a99
1211a4375b0
137bbb4c79
1449d89140
152d923553
hex1d9bb594

496743828 has 96 divisors (see below), whose sum is σ = 1399372800. Its totient is φ = 133975296.

The previous prime is 496743787. The next prime is 496743839. The reversal of 496743828 is 828347694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872728 + ... + 873296.

It is an arithmetic number, because the mean of its divisors is an integer number (14576800).

Almost surely, 2496743828 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 496743828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699686400).

496743828 is an abundant number, since it is smaller than the sum of its proper divisors (902628972).

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

496743828 is a wasteful number, since it uses less digits than its factorization.

496743828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1147 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 496743828 is about 22287.7506267456. The cubic root of 496743828 is about 791.9738219589.

The spelling of 496743828 in words is "four hundred ninety-six million, seven hundred forty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 547 569 798 1094 1138 1596 1641 1707 2188 2276 3282 3414 3829 3983 6564 6828 7658 7966 10393 10811 11487 11949 15316 15932 20786 21622 22974 23898 31179 32433 41572 43244 45948 47796 62358 64866 72751 75677 124716 129732 145502 151354 218253 227031 291004 302708 311243 436506 454062 622486 873012 908124 933729 1244972 1867458 2178701 3734916 4357402 5913617 6536103 8714804 11827234 13072206 17740851 23654468 26144412 35481702 41395319 70963404 82790638 124185957 165581276 248371914 496743828