Search a number
-
+
469270368 = 2533777591
BaseRepresentation
bin11011111110000…
…111111101100000
31012201000101221000
4123332013331200
51430113122433
6114322032000
714425506120
oct3376077540
91181011830
10469270368
11220988856
121111a8600
13762b5c98
1446476c80
152b2e8113
hex1bf87f60

469270368 has 96 divisors (see below), whose sum is σ = 1564254720. Its totient is φ = 134075520.

The previous prime is 469270339. The next prime is 469270381. The reversal of 469270368 is 863072964.

It is a tau number, because it is divible by the number of its divisors (96).

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, 32748 + ... + 44843.

It is an arithmetic number, because the mean of its divisors is an integer number (16294320).

Almost surely, 2469270368 is an apocalyptic number.

469270368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

469270368 is an abundant number, since it is smaller than the sum of its proper divisors (1094984352).

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

469270368 is a wasteful number, since it uses less digits than its factorization.

469270368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77617 (or 77603 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 469270368 is about 21662.6491454762. The cubic root of 469270368 is about 777.0954698511.

The spelling of 469270368 in words is "four hundred sixty-nine million, two hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 77591 155182 232773 310364 465546 543137 620728 698319 931092 1086274 1241456 1396638 1629411 1862184 2094957 2172548 2482912 2793276 3258822 3724368 4189914 4345096 4888233 5586552 6517644 7448736 8379828 8690192 9776466 11173104 13035288 14664699 16759656 17380384 19552932 22346208 26070576 29329398 33519312 39105864 52141152 58658796 67038624 78211728 117317592 156423456 234635184 469270368