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472638474 = 2327111073187
BaseRepresentation
bin11100001010111…
…110010000001010
31012221100112002200
4130022332100022
51431443412344
6114522141030
714466234510
oct3412762012
91187315080
10472638474
11222879310
12112351776
1376bc5049
1446ab24b0
152b761069
hex1c2be40a

472638474 has 96 divisors (see below), whose sum is σ = 1289074176. Its totient is φ = 121577760.

The previous prime is 472638461. The next prime is 472638487. The reversal of 472638474 is 474836274.

472638474 is a `hidden beast` number, since 4 + 7 + 2 + 638 + 4 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (472638461) and next prime (472638487).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146709 + ... + 149895.

It is an arithmetic number, because the mean of its divisors is an integer number (13427856).

Almost surely, 2472638474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472638474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644537088).

472638474 is an abundant number, since it is smaller than the sum of its proper divisors (816435702).

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

472638474 is a wasteful number, since it uses less digits than its factorization.

472638474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3317 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 472638474 is about 21740.2500905578. The cubic root of 472638474 is about 778.9501951929.

The spelling of 472638474 in words is "four hundred seventy-two million, six hundred thirty-eight thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 107 126 154 198 214 231 321 462 642 693 749 963 1177 1386 1498 1926 2247 2354 3187 3531 4494 6374 6741 7062 8239 9561 10593 13482 16478 19122 21186 22309 24717 28683 35057 44618 49434 57366 66927 70114 74151 105171 133854 148302 200781 210342 245399 315513 341009 401562 490798 631026 682018 736197 1023027 1472394 2046054 2208591 2387063 3069081 3751099 4417182 4774126 6138162 7161189 7502198 11253297 14322378 21483567 22506594 26257693 33759891 42967134 52515386 67519782 78773079 157546158 236319237 472638474