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47100468 = 22319337613
BaseRepresentation
bin1011001110101…
…1001000110100
310021121221200210
42303223020310
544024203333
64401305420
71111230102
oct263531064
9107557623
1047100468
1124650308
1213935270
1399b16cc
146380c72
154205a63
hex2ceb234

47100468 has 48 divisors (see below), whose sum is σ = 116217920. Its totient is φ = 14805504.

The previous prime is 47100451. The next prime is 47100503. The reversal of 47100468 is 86400174.

47100468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 76530 + ... + 77142.

Almost surely, 247100468 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 47100468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58108960).

47100468 is an abundant number, since it is smaller than the sum of its proper divisors (69117452).

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

47100468 is a wasteful number, since it uses less digits than its factorization.

47100468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 47100468 is about 6862.9780707795. The cubic root of 47100468 is about 361.1395679420.

The spelling of 47100468 in words is "forty-seven million, one hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 337 613 674 1011 1226 1348 1839 2022 2452 3678 4044 6403 7356 11647 12806 19209 23294 25612 34941 38418 46588 69882 76836 139764 206581 413162 619743 826324 1239486 2478972 3925039 7850078 11775117 15700156 23550234 47100468