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496961982 = 232117931771
BaseRepresentation
bin11101100111110…
…000100110111110
31021122010021200100
4131213300212332
52004210240412
6121151341530
715213051516
oct3547604676
91248107610
10496961982
11235581990
1211a5218a6
137bc6035a
144a004846
152d967edc
hex1d9f09be

496961982 has 48 divisors (see below), whose sum is σ = 1189543680. Its totient is φ = 148683600.

The previous prime is 496961963. The next prime is 496961987. The reversal of 496961982 is 289169694.

496961982 is a `hidden beast` number, since 496 + 9 + 61 + 98 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496961987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244 + ... + 31527.

It is an arithmetic number, because the mean of its divisors is an integer number (24782160).

Almost surely, 2496961982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496961982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594771840).

496961982 is an abundant number, since it is smaller than the sum of its proper divisors (692581698).

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

496961982 is a wasteful number, since it uses less digits than its factorization.

496961982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31869 (or 31866 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 496961982 is about 22292.6441231183. The cubic root of 496961982 is about 792.0897415145.

The spelling of 496961982 in words is "four hundred ninety-six million, nine hundred sixty-one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 5214 7821 15642 31771 63542 95313 190626 285939 349481 571878 698962 1048443 2096886 2509909 3145329 5019818 6290658 7529727 15059454 22589181 27608999 45178362 55217998 82826997 165653994 248480991 496961982