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472432896 = 28321315773
BaseRepresentation
bin11100001010001…
…100000100000000
31012220222002002200
4130022030010000
51431420323041
6114513513200
714464420245
oct3412140400
91186862080
10472432896
11222748911
12112272800
1376b525c0
1446a5b5cc
152b7201b6
hex1c28c100

472432896 has 108 divisors (see below), whose sum is σ = 1467013548. Its totient is φ = 145354752.

The previous prime is 472432889. The next prime is 472432913. The reversal of 472432896 is 698234274.

It can be written as a sum of positive squares in 2 ways, for example, as 165482496 + 306950400 = 12864^2 + 17520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22066 + ... + 37838.

Almost surely, 2472432896 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 472432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733506774).

472432896 is an abundant number, since it is smaller than the sum of its proper divisors (994580652).

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

472432896 is a wasteful number, since it uses less digits than its factorization.

472432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15808 (or 15791 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 472432896 is about 21735.5215258342. The cubic root of 472432896 is about 778.8372418787.

The spelling of 472432896 in words is "four hundred seventy-two million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 15773 29952 31546 47319 63092 94638 126184 141957 189276 205049 252368 283914 378552 410098 504736 567828 615147 757104 820196 1009472 1135656 1230294 1514208 1640392 1845441 2018944 2271312 2460588 3028416 3280784 3690882 4037888 4542624 4921176 6056832 6561568 7381764 9085248 9842352 12113664 13123136 14763528 18170496 19684704 26246272 29527056 36340992 39369408 52492544 59054112 78738816 118108224 157477632 236216448 472432896