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2406242112 = 26341615011
BaseRepresentation
bin1000111101101100…
…0101011101000000
320012200202202122020
42033123011131000
514411444221422
61034434041440
7113425502061
oct21733053500
96180682566
102406242112
11102529634a
12571a19280
132c4692c01
1418b806568
15e13aa95c
hex8f6c5740

2406242112 has 112 divisors (see below), whose sum is σ = 6630033984. Its totient is φ = 769536000.

The previous prime is 2406242063. The next prime is 2406242141. The reversal of 2406242112 is 2112426042.

It is a happy number.

It is a super-2 number, since 2×24062421122 = 11580002203124441088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477687 + ... + 482697.

It is an arithmetic number, because the mean of its divisors is an integer number (59196732).

Almost surely, 22406242112 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 2406242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315016992).

2406242112 is an abundant number, since it is smaller than the sum of its proper divisors (4223791872).

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

2406242112 is a wasteful number, since it uses less digits than its factorization.

2406242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2406242112 is about 49053.4617738646. The cubic root of 2406242112 is about 1340.0256384788.

Adding to 2406242112 its reverse (2112426042), we get a palindrome (4518668154).

The spelling of 2406242112 in words is "two billion, four hundred six million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 61 64 82 96 122 123 164 183 192 244 246 328 366 488 492 656 732 976 984 1312 1464 1952 1968 2501 2624 2928 3904 3936 5002 5011 5856 7503 7872 10004 10022 11712 15006 15033 20008 20044 30012 30066 40016 40088 60024 60132 80032 80176 120048 120264 160064 160352 205451 240096 240528 305671 320704 410902 480192 481056 611342 616353 821804 917013 962112 1222684 1232706 1643608 1834026 2445368 2465412 3287216 3668052 4890736 4930824 6574432 7336104 9781472 9861648 12532511 13148864 14672208 19562944 19723296 25065022 29344416 37597533 39446592 50130044 58688832 75195066 100260088 150390132 200520176 300780264 401040352 601560528 802080704 1203121056 2406242112