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424727316 = 2232133892333
BaseRepresentation
bin11001010100001…
…101001100010100
31002121012101100100
4121110031030110
51332212233231
6110051214100
713345060026
oct3124151424
91077171310
10424727316
111a8824a12
12ba2a7330
1369cbb650
14405a0016
152744a1e6
hex1950d314

424727316 has 72 divisors (see below), whose sum is σ = 1159671240. Its totient is φ = 130293504.

The previous prime is 424727309. The next prime is 424727333. The reversal of 424727316 is 613727424.

It can be written as a sum of positive squares in 4 ways, for example, as 202500 + 424524816 = 450^2 + 20604^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180886 + ... + 183218.

It is an arithmetic number, because the mean of its divisors is an integer number (16106545).

Almost surely, 2424727316 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 424727316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579835620).

424727316 is an abundant number, since it is smaller than the sum of its proper divisors (734943924).

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

424727316 is a wasteful number, since it uses less digits than its factorization.

424727316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2740 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 424727316 is about 20608.9135084798. The cubic root of 424727316 is about 751.6864662663.

The spelling of 424727316 in words is "four hundred twenty-four million, seven hundred twenty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 389 468 778 1167 1556 2333 2334 3501 4666 4668 5057 6999 7002 9332 10114 13998 14004 15171 20228 20997 27996 30329 30342 41994 45513 60658 60684 83988 90987 91026 121316 181974 182052 272961 363948 545922 907537 1091844 1815074 2722611 3630148 5445222 8167833 10890444 11797981 16335666 23595962 32671332 35393943 47191924 70787886 106181829 141575772 212363658 424727316