Search a number
-
+
496484694 = 233173791427
BaseRepresentation
bin11101100101111…
…100000101010110
31021121020000222000
4131211330011112
52004100002234
6121133220130
715206023146
oct3545740526
91247200860
10496484694
11235286332
1211a331646
137bb24034
1449d1c926
152d8c1899
hex1d97c156

496484694 has 64 divisors (see below), whose sum is σ = 1172102400. Its totient is φ = 155240064.

The previous prime is 496484689. The next prime is 496484699.

It is a happy number.

496484694 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (496484689) and next prime (496484699).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 496484694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496484699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347209 + ... + 348635.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2496484694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496484694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

496484694 is an abundant number, since it is smaller than the sum of its proper divisors (675617706).

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

496484694 is a wasteful number, since it uses less digits than its factorization.

496484694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 496484694 is about 22281.9364957357. The cubic root of 496484694 is about 791.8360829274.

The spelling of 496484694 in words is "four hundred ninety-six million, four hundred eighty-four thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 379 459 758 918 1137 1427 2274 2854 3411 4281 6443 6822 8562 10233 12843 12886 19329 20466 24259 25686 38529 38658 48518 57987 72777 77058 115974 145554 173961 218331 347922 436662 540833 654993 1081666 1309986 1622499 3244998 4867497 9194161 9734994 14602491 18388322 27582483 29204982 55164966 82747449 165494898 248242347 496484694