Search a number
-
+
47661390 = 2325775653
BaseRepresentation
bin1011010111010…
…0000101001110
310022200110010200
42311310011032
544200131030
64421314330
71116054330
oct265640516
9108613120
1047661390
11249a3787
1213b659a6
139b49b0a
146489450
1542b6d60
hex2d7414e

47661390 has 48 divisors (see below), whose sum is σ = 141624288. Its totient is φ = 10893888.

The previous prime is 47661389. The next prime is 47661391. The reversal of 47661390 is 9316674.

47661390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47661389) and next prime (47661391).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47661391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37197 + ... + 38456.

It is an arithmetic number, because the mean of its divisors is an integer number (2950506).

Almost surely, 247661390 is an apocalyptic number.

47661390 is an abundant number, since it is smaller than the sum of its proper divisors (93962898).

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

47661390 is a wasteful number, since it uses less digits than its factorization.

47661390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75673 (or 75670 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 47661390 is about 6903.7229086921. The cubic root of 47661390 is about 362.5675244802.

The spelling of 47661390 in words is "forty-seven million, six hundred sixty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 75653 151306 226959 378265 453918 529571 680877 756530 1059142 1134795 1361754 1588713 2269590 2647855 3177426 3404385 4766139 5295710 6808770 7943565 9532278 15887130 23830695 47661390