Search a number
-
+
47145294 = 2337191653
BaseRepresentation
bin1011001111011…
…0000101001110
310021201020012000
42303312011032
544032122134
64402253130
71111504560
oct263660516
9107636160
1047145294
1124680a59
12139571a6
1399c8c31
146393330
154213e99
hex2cf614e

47145294 has 64 divisors (see below), whose sum is σ = 120545280. Its totient is φ = 13379040.

The previous prime is 47145281. The next prime is 47145299. The reversal of 47145294 is 49254174.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47145299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71872 + ... + 72524.

It is an arithmetic number, because the mean of its divisors is an integer number (1883520).

Almost surely, 247145294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47145294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60272640).

47145294 is an abundant number, since it is smaller than the sum of its proper divisors (73399986).

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

47145294 is a wasteful number, since it uses less digits than its factorization.

47145294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 47145294 is about 6866.2430775498. The cubic root of 47145294 is about 361.2540983639.

The spelling of 47145294 in words is "forty-seven million, one hundred forty-five thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 191 378 382 573 653 1146 1306 1337 1719 1959 2674 3438 3918 4011 4571 5157 5877 8022 9142 10314 11754 12033 13713 17631 24066 27426 35262 36099 41139 72198 82278 123417 124723 246834 249446 374169 748338 873061 1122507 1746122 2245014 2619183 3367521 5238366 6735042 7857549 15715098 23572647 47145294