Search a number
-
+
2404042524 = 22331323109683
BaseRepresentation
bin1000111101001010…
…1100011100011100
320012112122000101000
42033102230130130
514410413330044
61034314550300
7113401011222
oct21722543434
96175560330
102404042524
111024023804
12571138390
132c40a2990
1418b3d2b12
15e10c3d69
hex8f4ac71c

2404042524 has 192 divisors, whose sum is σ = 7078579200. Its totient is φ = 700026624.

The previous prime is 2404042489. The next prime is 2404042567. The reversal of 2404042524 is 4252404042.

2404042524 is a `hidden beast` number, since 2 + 4 + 0 + 404 + 252 + 4 = 666.

2404042524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3519487 + ... + 3520169.

It is an arithmetic number, because the mean of its divisors is an integer number (36867600).

Almost surely, 22404042524 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 2404042524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539289600).

2404042524 is an abundant number, since it is smaller than the sum of its proper divisors (4674536676).

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

2404042524 is a wasteful number, since it uses less digits than its factorization.

2404042524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2404042524 is about 49031.0363341425. The cubic root of 2404042524 is about 1339.6172003756.

Adding to 2404042524 its reverse (4252404042), we get a palindrome (6656446566).

It can be divided in two parts, 24040 and 42524, that added together give a square (66564 = 2582).

The spelling of 2404042524 in words is "two billion, four hundred four million, forty-two thousand, five hundred twenty-four".