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474305216 = 26711109883
BaseRepresentation
bin11100010001010…
…101001011000000
31020001111012102212
4130101111023000
51432410231331
6115022001252
714516346020
oct3421251300
91201435385
10474305216
11223807590
12112a16228
1377359898
1446dc7a80
152b98ed2b
hex1c4552c0

474305216 has 112 divisors (see below), whose sum is σ = 1185550080. Its totient is φ = 182891520.

The previous prime is 474305201. The next prime is 474305263. The reversal of 474305216 is 612503474.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536711 + ... + 537593.

Almost surely, 2474305216 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 474305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592775040).

474305216 is an abundant number, since it is smaller than the sum of its proper divisors (711244864).

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

474305216 is a wasteful number, since it uses less digits than its factorization.

474305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 474305216 is about 21778.5494466459. The cubic root of 474305216 is about 779.8647672632.

The spelling of 474305216 in words is "four hundred seventy-four million, three hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 109 112 154 176 218 224 308 352 436 448 616 704 763 872 883 1199 1232 1526 1744 1766 2398 2464 3052 3488 3532 4796 4928 6104 6181 6976 7064 8393 9592 9713 12208 12362 14128 16786 19184 19426 24416 24724 28256 33572 38368 38852 48832 49448 56512 67144 67991 76736 77704 96247 98896 134288 135982 155408 192494 197792 268576 271964 310816 384988 395584 537152 543928 621632 673729 769976 1058717 1087856 1347458 1539952 2117434 2175712 2694916 3079904 4234868 4351424 5389832 6159808 7411019 8469736 10779664 14822038 16939472 21559328 29644076 33878944 43118656 59288152 67757888 118576304 237152608 474305216