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2406263104 = 26741269487
BaseRepresentation
bin1000111101101100…
…1010100101000000
320012200210211102201
42033123022211000
514412000404404
61034434322544
7113425620220
oct21733124500
96180724381
102406263104
1110253000a3
12571a29454
132c469c62b
1418b810080
15e13b1ca4
hex8f6ca940

2406263104 has 112 divisors (see below), whose sum is σ = 5622462720. Its totient is φ = 1000304640.

The previous prime is 2406263099. The next prime is 2406263107. The reversal of 2406263104 is 4013626042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406263107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4940749 + ... + 4941235.

It is an arithmetic number, because the mean of its divisors is an integer number (50200560).

Almost surely, 22406263104 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 2406263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811231360).

2406263104 is an abundant number, since it is smaller than the sum of its proper divisors (3216199616).

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

2406263104 is a wasteful number, since it uses less digits than its factorization.

2406263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2406263104 is about 49053.6757440255. The cubic root of 2406263104 is about 1340.0295352516.

Adding to 2406263104 its reverse (4013626042), we get a palindrome (6419889146).

The spelling of 2406263104 in words is "two billion, four hundred six million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 269 287 328 448 487 538 574 656 974 1076 1148 1312 1883 1948 2152 2296 2624 3409 3766 3896 4304 4592 6818 7532 7792 8608 9184 11029 13636 15064 15584 17216 18368 19967 22058 27272 30128 31168 39934 44116 54544 60256 77203 79868 88232 109088 120512 131003 139769 154406 159736 176464 218176 262006 279538 308812 319472 352928 524012 559076 617624 638944 705856 917021 1048024 1118152 1235248 1277888 1834042 2096048 2236304 2470496 3668084 4192096 4472608 4940992 5371123 7336168 8384192 8945216 10742246 14672336 21484492 29344672 37597861 42968984 58689344 75195722 85937968 150391444 171875936 300782888 343751872 601565776 1203131552 2406263104