Search a number
-
+
2426461136 = 2411173132591
BaseRepresentation
bin1001000010100000…
…1101101111010000
320021002210222220222
42100220031233100
514432133224021
61040435252212
7114062402501
oct22050155720
96232728828
102426461136
111035746190
1257874a068
132c8921c28
1419038aba8
15e30516ab
hex90a0dbd0

2426461136 has 80 divisors (see below), whose sum is σ = 5449794048. Its totient is φ = 1034342400.

The previous prime is 2426461127. The next prime is 2426461159. The reversal of 2426461136 is 6311646242.

It is a junction number, because it is equal to n+sod(n) for n = 2426461096 and 2426461105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935201 + ... + 937791.

Almost surely, 22426461136 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 2426461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724897024).

2426461136 is an abundant number, since it is smaller than the sum of its proper divisors (3023332912).

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

2426461136 is a wasteful number, since it uses less digits than its factorization.

2426461136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 2426461136 is about 49259.1223632740. The cubic root of 2426461136 is about 1343.7684697775.

The spelling of 2426461136 in words is "two billion, four hundred twenty-six million, four hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 313 374 626 748 1252 1496 2504 2591 2992 3443 5008 5182 5321 6886 10364 10642 13772 20728 21284 27544 28501 41456 42568 44047 55088 57002 58531 85136 88094 114004 117062 176188 228008 234124 352376 456016 468248 484517 704752 810983 936496 969034 1621966 1938068 3243932 3876136 6487864 7752272 8920813 12975728 13786711 17841626 27573422 35683252 55146844 71366504 110293688 142733008 151653821 220587376 303307642 606615284 1213230568 2426461136