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47950 = 2527137
BaseRepresentation
bin1011101101001110
32102202221
423231032
53013300
61005554
7256540
oct135516
972687
1047950
1133031
12238ba
1318a96
1413690
15e31a
hexbb4e

47950 has 24 divisors (see below), whose sum is σ = 102672. Its totient is φ = 16320.

The previous prime is 47947. The next prime is 47951. The reversal of 47950 is 5974.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (4278).

247950 is an apocalyptic number.

47950 is an abundant number, since it is smaller than the sum of its proper divisors (54722).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51336).

47950 is a wasteful number, since it uses less digits than its factorization.

47950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 47950 is about 218.9748844046. The cubic root of 47950 is about 36.3297885795.

It can be divided in two parts, 479 and 50, that added together give a square (529 = 232).

The spelling of 47950 in words is "forty-seven thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 137 175 274 350 685 959 1370 1918 3425 4795 6850 9590 23975 47950