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47053968 = 2431375407
BaseRepresentation
bin1011001101111…
…1110010010000
310021112120220120
42303133302100
544021211333
64400310240
71110644403
oct263376220
9107476816
1047053968
1124619385
1213912380
1399964b0
14636bd3a
1541e6db3
hex2cdfc90

47053968 has 40 divisors (see below), whose sum is σ = 130908288. Its totient is φ = 14477952.

The previous prime is 47053949. The next prime is 47053969. The reversal of 47053968 is 86935074.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47053969) 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, 37080 + ... + 38327.

Almost surely, 247053968 is an apocalyptic number.

47053968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47053968 is an abundant number, since it is smaller than the sum of its proper divisors (83854320).

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

47053968 is a wasteful number, since it uses less digits than its factorization.

47053968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75431 (or 75425 counting only the distinct ones).

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

The square root of 47053968 is about 6859.5894920906. The cubic root of 47053968 is about 361.0206836367.

The spelling of 47053968 in words is "forty-seven million, fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 75407 150814 226221 301628 452442 603256 904884 980291 1206512 1809768 1960582 2940873 3619536 3921164 5881746 7842328 11763492 15684656 23526984 47053968