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495380496 = 243133125609
BaseRepresentation
bin11101100001101…
…110100000010000
31021112010221021210
4131201232200100
52003304133441
6121053420120
715163444002
oct3541564020
91245127253
10495380496
112346a1776
12119a9a640
137b828570
1449b12372
152d754616
hex1d86e810

495380496 has 80 divisors (see below), whose sum is σ = 1422686720. Its totient is φ = 147502080.

The previous prime is 495380489. The next prime is 495380503. The reversal of 495380496 is 694083594.

It is an interprime number because it is at equal distance from previous prime (495380489) and next prime (495380503).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6540 + ... + 32148.

It is an arithmetic number, because the mean of its divisors is an integer number (17783584).

Almost surely, 2495380496 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 495380496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711343360).

495380496 is an abundant number, since it is smaller than the sum of its proper divisors (927306224).

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

495380496 is a wasteful number, since it uses less digits than its factorization.

495380496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25664 (or 25658 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 495380496 is about 22257.1448303685. The cubic root of 495380496 is about 791.2486241924.

The spelling of 495380496 in words is "four hundred ninety-five million, three hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 25609 51218 76827 102436 153654 204872 307308 332917 409744 614616 665834 793879 998751 1229232 1331668 1587758 1997502 2381637 2663336 3175516 3995004 4763274 5326672 6351032 7990008 9526548 10320427 12702064 15980016 19053096 20640854 30961281 38106192 41281708 61922562 82563416 123845124 165126832 247690248 495380496