Search a number
-
+
2413601632 = 251317932413
BaseRepresentation
bin1000111111011100…
…1010001101100000
320020012121200000001
42033313022031200
514420340223012
61035255505344
7113545163311
oct21767121540
96205550001
102413601632
1110294626a2
12574388254
132c606b960
1418c7a0608
15e1d61357
hex8fdca360

2413601632 has 48 divisors (see below), whose sum is σ = 5146046640. Its totient is φ = 1107712512.

The previous prime is 2413601629. The next prime is 2413601633. The reversal of 2413601632 is 2361063142.

2413601632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2413601632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413601633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58258 + ... + 90670.

It is an arithmetic number, because the mean of its divisors is an integer number (107209305).

Almost surely, 22413601632 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 2413601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573023320).

2413601632 is an abundant number, since it is smaller than the sum of its proper divisors (2732445008).

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

2413601632 is a wasteful number, since it uses less digits than its factorization.

2413601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32615 (or 32607 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2413601632 is about 49128.4197995417. The cubic root of 2413601632 is about 1341.3904094626.

Adding to 2413601632 its reverse (2361063142), we get a palindrome (4774664774).

The spelling of 2413601632 in words is "two billion, four hundred thirteen million, six hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 179 208 358 416 716 1432 2327 2864 4654 5728 9308 18616 32413 37232 64826 74464 129652 259304 421369 518608 842738 1037216 1685476 3370952 5801927 6741904 11603854 13483808 23207708 46415416 75425051 92830832 150850102 185661664 301700204 603400408 1206800816 2413601632