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495394848 = 253213307431
BaseRepresentation
bin11101100001110…
…010000000100000
31021112011122222100
4131201302000200
52003310113343
6121054010400
715163533564
oct3541620040
91245148870
10495394848
11234701533
12119aa6a00
137b831c60
1449b176a4
152d7589d3
hex1d872020

495394848 has 144 divisors (see below), whose sum is σ = 1525620096. Its totient is φ = 151580160.

The previous prime is 495394843. The next prime is 495394883. The reversal of 495394848 is 848493594.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 495394794 and 495394803.

It is not an unprimeable number, because it can be changed into a prime (495394843) 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, 1149193 + ... + 1149623.

It is an arithmetic number, because the mean of its divisors is an integer number (10594584).

Almost surely, 2495394848 is an apocalyptic number.

495394848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762810048).

495394848 is an abundant number, since it is smaller than the sum of its proper divisors (1030225248).

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

495394848 is a wasteful number, since it uses less digits than its factorization.

495394848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 495394848 is about 22257.4672413552. The cubic root of 495394848 is about 791.2562653832.

The spelling of 495394848 in words is "four hundred ninety-five million, three hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 307 312 416 431 468 614 624 862 921 936 1228 1248 1293 1724 1842 1872 2456 2586 2763 3448 3684 3744 3879 3991 4912 5172 5526 5603 6896 7368 7758 7982 9824 10344 11052 11206 11973 13792 14736 15516 15964 16809 20688 22104 22412 23946 29472 31032 31928 33618 35919 41376 44208 44824 47892 50427 62064 63856 67236 71838 88416 89648 95784 100854 124128 127712 132317 134472 143676 179296 191568 201708 264634 268944 287352 383136 396951 403416 529268 537888 574704 793902 806832 1058536 1149408 1190853 1587804 1613664 1720121 2117072 2381706 3175608 3440242 4234144 4763412 5160363 6351216 6880484 9526824 10320726 12702432 13760968 15481089 19053648 20641452 27521936 30962178 38107296 41282904 55043872 61924356 82565808 123848712 165131616 247697424 495394848