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47157 = 3111429
BaseRepresentation
bin1011100000110101
32101200120
423200311
53002112
61002153
7254325
oct134065
971616
1047157
1132480
1223359
1318606
1413285
15de8c
hexb835

47157 has 8 divisors (see below), whose sum is σ = 68640. Its totient is φ = 28560.

The previous prime is 47149. The next prime is 47161. The reversal of 47157 is 75174.

47157 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 47157 - 23 = 47149 is a prime.

47157 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47137) 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, 682 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

247157 is an apocalyptic number.

It is an amenable number.

47157 is a deficient number, since it is larger than the sum of its proper divisors (21483).

47157 is a wasteful number, since it uses less digits than its factorization.

47157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443.

The product of its digits is 980, while the sum is 24.

The square root of 47157 is about 217.1566255033. The cubic root of 47157 is about 36.1283995236.

It can be divided in two parts, 471 and 57, that added together give a triangular number (528 = T32).

The spelling of 47157 in words is "forty-seven thousand, one hundred fifty-seven".

Divisors: 1 3 11 33 1429 4287 15719 47157