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47363968 = 27477873
BaseRepresentation
bin1011010010101…
…1011110000000
310022010100011001
42310223132000
544111121333
64411101344
71113405241
oct264533600
9108110131
1047363968
1124810283
1213a41854
139a74622
14640ccc8
154258b7d
hex2d2b780

47363968 has 32 divisors (see below), whose sum is σ = 96377760. Its totient is φ = 23175168.

The previous prime is 47363957. The next prime is 47363993. The reversal of 47363968 is 86936374.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2080 + ... + 9952.

It is an arithmetic number, because the mean of its divisors is an integer number (3011805).

Almost surely, 247363968 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 47363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48188880).

47363968 is an abundant number, since it is smaller than the sum of its proper divisors (49013792).

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

47363968 is an equidigital number, since it uses as much as digits as its factorization.

47363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7922 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 47363968 is about 6882.1485017398. The cubic root of 47363968 is about 361.8117719491.

It can be divided in two parts, 47 and 363968, that multiplied together give a square (17106496 = 41362).

The spelling of 47363968 in words is "forty-seven million, three hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 7873 15746 31492 62984 125968 251936 370031 503872 740062 1007744 1480124 2960248 5920496 11840992 23681984 47363968