Search a number
-
+
2385111248 = 241331136871
BaseRepresentation
bin1000111000101001…
…1110100011010000
320011020000012112122
42032022132203100
514341042024443
61032401113412
7113051053052
oct21612364320
96136005478
102385111248
111014373423
12566928868
132c01a4b40
14188aa58d2
15de5d4968
hex8e29e8d0

2385111248 has 40 divisors (see below), whose sum is σ = 4992763776. Its totient is φ = 1097251200.

The previous prime is 2385111193. The next prime is 2385111251. The reversal of 2385111248 is 8421115832.

It is a super-2 number, since 2×23851112482 = 11377511330672235008, 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 7 ways as a sum of consecutive naturals, for example, 46253 + ... + 83123.

Almost surely, 22385111248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385111248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496381888).

2385111248 is an abundant number, since it is smaller than the sum of its proper divisors (2607652528).

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

2385111248 is a wasteful number, since it uses less digits than its factorization.

2385111248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37203 (or 37197 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 2385111248 is about 48837.6007600701. The cubic root of 2385111248 is about 1336.0915381840.

The spelling of 2385111248 in words is "two billion, three hundred eighty-five million, one hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 311 622 1244 2488 4043 4976 8086 16172 32344 36871 64688 73742 147484 294968 479323 589936 958646 1917292 3834584 7669168 11466881 22933762 45867524 91735048 149069453 183470096 298138906 596277812 1192555624 2385111248