Search a number
-
+
2404836252 = 223271317291489
BaseRepresentation
bin1000111101010110…
…1110001110011100
320012121010100011100
42033111232032130
514411114230002
61034343553100
7113410525260
oct21725561634
96177110140
102404836252
111024516085
1257145b790
132c42c0040
1418b55c0a0
15e11ce11c
hex8f56e39c

2404836252 has 288 divisors, whose sum is σ = 8200483200. Its totient is φ = 575963136.

The previous prime is 2404836233. The next prime is 2404836331. The reversal of 2404836252 is 2526384042.

2404836252 is a `hidden beast` number, since 24 + 0 + 4 + 8 + 3 + 625 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1614324 + ... + 1615812.

It is an arithmetic number, because the mean of its divisors is an integer number (28473900).

Almost surely, 22404836252 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 2404836252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100241600).

2404836252 is an abundant number, since it is smaller than the sum of its proper divisors (5795646948).

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

2404836252 is a wasteful number, since it uses less digits than its factorization.

2404836252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2404836252 is about 49039.1298046774. The cubic root of 2404836252 is about 1339.7646152226.

The spelling of 2404836252 in words is "two billion, four hundred four million, eight hundred thirty-six thousand, two hundred fifty-two".