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47438304 = 2531134373
BaseRepresentation
bin1011010011110…
…1100111100000
310022021010010020
42310331213200
544121011204
64412433440
71114135044
oct264754740
9108233106
1047438304
1124861111
1213a78880
139a9c404
14642c024
154270bd9
hex2d3d9e0

47438304 has 48 divisors (see below), whose sum is σ = 125656272. Its totient is φ = 15669248.

The previous prime is 47438273. The next prime is 47438309. The reversal of 47438304 is 40383474.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47438309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8662 + ... + 13034.

It is an arithmetic number, because the mean of its divisors is an integer number (2617839).

Almost surely, 247438304 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 47438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62828136).

47438304 is an abundant number, since it is smaller than the sum of its proper divisors (78217968).

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

47438304 is a wasteful number, since it uses less digits than its factorization.

47438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 47438304 is about 6887.5470234329. The cubic root of 47438304 is about 362.0009564192. Note that the first 3 decimals are identical.

The spelling of 47438304 in words is "forty-seven million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 4373 5424 8746 10848 13119 17492 26238 34984 52476 69968 104952 139936 209904 419808 494149 988298 1482447 1976596 2964894 3953192 5929788 7906384 11859576 15812768 23719152 47438304