Search a number
-
+
47469240 = 23345721323
BaseRepresentation
bin1011010100010…
…1001010111000
310022022200120000
42311011022320
544123003430
64413233000
71114324200
oct265051270
9108280500
1047469240
1124882385
1213a92760
139ab0510
146439400
154279e60
hex2d452b8

47469240 has 480 divisors, whose sum is σ = 208565280. Its totient is φ = 9580032.

The previous prime is 47469193. The next prime is 47469269. The reversal of 47469240 is 4296474.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47469195 and 47469204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063869 + ... + 2063891.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 247469240 is an apocalyptic number.

47469240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47469240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

47469240 is an abundant number, since it is smaller than the sum of its proper divisors (161096040).

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

47469240 is a wasteful number, since it uses less digits than its factorization.

47469240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47469240 is about 6889.7924497041. The cubic root of 47469240 is about 362.0796300307.

The spelling of 47469240 in words is "forty-seven million, four hundred sixty-nine thousand, two hundred forty".