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47901 = 372281
BaseRepresentation
bin1011101100011101
32102201010
423230131
53013101
61005433
7256440
oct135435
972633
1047901
1132a97
1223879
1318a59
1413657
15e2d6
hexbb1d

47901 has 8 divisors (see below), whose sum is σ = 73024. Its totient is φ = 27360.

The previous prime is 47881. The next prime is 47903. The reversal of 47901 is 10974.

47901 = T3 + T4 + ... + T65.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 47901 - 25 = 47869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2281 = 47901 / (4 + 7 + 9 + 0 + 1).

It is a Curzon number.

47901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47903) 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, 1120 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (9128).

247901 is an apocalyptic number.

It is an amenable number.

47901 is a deficient number, since it is larger than the sum of its proper divisors (25123).

47901 is a wasteful number, since it uses less digits than its factorization.

47901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 47901 is about 218.8629708288. The cubic root of 47901 is about 36.3174092513.

The spelling of 47901 in words is "forty-seven thousand, nine hundred one".

Divisors: 1 3 7 21 2281 6843 15967 47901