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496143956 = 227116612437
BaseRepresentation
bin11101100100101…
…000111001010100
31021120120201120002
4131210220321110
52004003101311
6121122030432
715203103560
oct3544507124
91246521502
10496143956
11235073330
1211a1a8418
137ba34c09
1449c706a0
152d85593b
hex1d928e54

496143956 has 48 divisors (see below), whose sum is σ = 1084578432. Its totient is φ = 192931200.

The previous prime is 496143943. The next prime is 496143983. The reversal of 496143956 is 659341694.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 496143956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202370 + ... + 204806.

It is an arithmetic number, because the mean of its divisors is an integer number (22595384).

Almost surely, 2496143956 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 496143956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542289216).

496143956 is an abundant number, since it is smaller than the sum of its proper divisors (588434476).

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

496143956 is a wasteful number, since it uses less digits than its factorization.

496143956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3118 counting only the distinct ones).

The product of its digits is 699840, while the sum is 47.

The square root of 496143956 is about 22274.2891244592. The cubic root of 496143956 is about 791.6548954753.

The spelling of 496143956 in words is "four hundred ninety-six million, one hundred forty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 661 1322 2437 2644 4627 4874 7271 9254 9748 14542 17059 18508 26807 29084 34118 50897 53614 68236 101794 107228 187649 203588 375298 750596 1610857 3221714 6443428 11275999 17719427 22551998 35438854 45103996 70877708 124035989 248071978 496143956