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47190 = 23511213
BaseRepresentation
bin1011100001010110
32101201210
423201112
53002230
61002250
7254403
oct134126
971653
1047190
1132500
1223386
1318630
14132aa
15deb0
hexb856

47190 has 48 divisors (see below), whose sum is σ = 134064. Its totient is φ = 10560.

The previous prime is 47189. The next prime is 47207. The reversal of 47190 is 9174.

47190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×471902 = 4453792200, which contains 22 as substring.

It is a congruent number.

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, 3624 + ... + 3636.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

247190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032).

47190 is an abundant number, since it is smaller than the sum of its proper divisors (86874).

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

47190 is a wasteful number, since it uses less digits than its factorization.

47190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 34 counting only the distinct ones).

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

The square root of 47190 is about 217.2325942394. The cubic root of 47190 is about 36.1368249902.

It can be divided in two parts, 471 and 90, that added together give a triangular number (561 = T33).

The spelling of 47190 in words is "forty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3630 4290 4719 7865 9438 15730 23595 47190