Search a number
-
+
52009776 = 24367313
BaseRepresentation
bin1100011001100…
…1101100110000
310121212101000000
43012121230300
5101303303101
65054430000
71201035000
oct306315460
9117771000
1052009776
11273a3795
1215502300
13aa10120
146c9c000
154875486
hex3199b30

52009776 has 280 divisors, whose sum is σ = 189744800. Its totient is φ = 13716864.

The previous prime is 52009733. The next prime is 52009781. The reversal of 52009776 is 67790025.

52009776 is nontrivially palindromic in base 5.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52009776.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4000746 + ... + 4000758.

It is an arithmetic number, because the mean of its divisors is an integer number (677660).

Almost surely, 252009776 is an apocalyptic number.

52009776 is a gapful number since it is divisible by the number (56) 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 52009776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94872400).

52009776 is an abundant number, since it is smaller than the sum of its proper divisors (137735024).

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

52009776 is an equidigital number, since it uses as much as digits as its factorization.

52009776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 52009776 is about 7211.7803627121. The cubic root of 52009776 is about 373.2745046193.

The spelling of 52009776 in words is "fifty-two million, nine thousand, seven hundred seventy-six".