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47396304 = 2432472149
BaseRepresentation
bin1011010011001…
…1010111010000
310022011222111200
42310303113100
544113140204
64411511200
71113601434
oct264632720
9108158450
1047396304
11248325aa
1213a58500
139a86267
14641a9c4
154263539
hex2d335d0

47396304 has 90 divisors (see below), whose sum is σ = 136435650. Its totient is φ = 15358848.

The previous prime is 47396249. The next prime is 47396309. The reversal of 47396304 is 40369374.

47396304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31809600 + 15586704 = 5640^2 + 3948^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47396309) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 318022 + ... + 318170.

Almost surely, 247396304 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 47396304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68217825).

47396304 is an abundant number, since it is smaller than the sum of its proper divisors (89039346).

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

47396304 is a wasteful number, since it uses less digits than its factorization.

47396304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 47396304 is about 6884.4973672738. The cubic root of 47396304 is about 361.8940910937.

The spelling of 47396304 in words is "forty-seven million, three hundred ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 149 188 282 298 376 423 447 564 596 752 846 894 1128 1192 1341 1692 1788 2209 2256 2384 2682 3384 3576 4418 5364 6627 6768 7003 7152 8836 10728 13254 14006 17672 19881 21009 21456 26508 28012 35344 39762 42018 53016 56024 63027 79524 84036 106032 112048 126054 159048 168072 252108 318096 329141 336144 504216 658282 987423 1008432 1316564 1974846 2633128 2962269 3949692 5266256 5924538 7899384 11849076 15798768 23698152 47396304