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47371968 = 2632731379
BaseRepresentation
bin1011010010110…
…1011011000000
310022010202010100
42310231123000
544111400333
64411202400
71113440460
oct264553300
9108122110
1047371968
1124816296
1213a46400
139a78167
146411ba0
15425b213
hex2d2d6c0

47371968 has 168 divisors, whose sum is σ = 160609280. Its totient is φ = 13063680.

The previous prime is 47371957. The next prime is 47371991. The reversal of 47371968 is 86917374.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124803 + ... + 125181.

Almost surely, 247371968 is an apocalyptic number.

47371968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80304640).

47371968 is an abundant number, since it is smaller than the sum of its proper divisors (113237312).

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

47371968 is a wasteful number, since it uses less digits than its factorization.

47371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 47371968 is about 6882.7296910456. The cubic root of 47371968 is about 361.8321413801.

The spelling of 47371968 in words is "forty-seven million, three hundred seventy-one thousand, nine hundred sixty-eight".