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47294952 = 23317196101
BaseRepresentation
bin1011010001101…
…0100111101000
310021222211110220
42310122213220
544101414302
64405410040
71113000105
oct264324750
9107884426
1047294952
1124773441
1213a09920
139a4c0a3
1463d1aac
1542434bc
hex2d1a9e8

47294952 has 64 divisors (see below), whose sum is σ = 131803200. Its totient is φ = 14054400.

The previous prime is 47294941. The next prime is 47294953. The reversal of 47294952 is 25949274.

47294952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47294953) 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 15 ways as a sum of consecutive naturals, for example, 4702 + ... + 10802.

It is an arithmetic number, because the mean of its divisors is an integer number (2059425).

Almost surely, 247294952 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 47294952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65901600).

47294952 is an abundant number, since it is smaller than the sum of its proper divisors (84508248).

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

47294952 is a wasteful number, since it uses less digits than its factorization.

47294952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6142 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 47294952 is about 6877.1325419829. The cubic root of 47294952 is about 361.6359495480.

The spelling of 47294952 in words is "forty-seven million, two hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 6101 7752 12202 18303 24404 36606 48808 73212 103717 115919 146424 207434 231838 311151 347757 414868 463676 622302 695514 829736 927352 1244604 1391028 1970623 2489208 2782056 3941246 5911869 7882492 11823738 15764984 23647476 47294952