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2426214336 = 263713138863
BaseRepresentation
bin1001000010011101…
…0001011111000000
320021002100110101020
42100213101133000
514432102324321
61040430105440
7114060324120
oct22047213700
96232313336
102426214336
111035597817
1257864b280
132c88667b0
14190324c80
15e30034c6
hex909d17c0

2426214336 has 112 divisors (see below), whose sum is σ = 7900806144. Its totient is φ = 639876096.

The previous prime is 2426214289. The next prime is 2426214397. The reversal of 2426214336 is 6334126242.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2426214297 and 2426214306.

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, 51960 + ... + 86903.

It is an arithmetic number, because the mean of its divisors is an integer number (70542912).

Almost surely, 22426214336 is an apocalyptic number.

2426214336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2426214336 is an abundant number, since it is smaller than the sum of its proper divisors (5474591808).

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

2426214336 is a wasteful number, since it uses less digits than its factorization.

2426214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138898 (or 138888 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 2426214336 is about 49256.6171798267. The cubic root of 2426214336 is about 1343.7229091463.

The spelling of 2426214336 in words is "two billion, four hundred twenty-six million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 138863 277726 416589 555452 833178 972041 1110904 1666356 1805219 1944082 2221808 2916123 3332712 3610438 3888164 4443616 5415657 5832246 6665424 7220876 7776328 8887232 10831314 11664492 12636533 13330848 14441752 15552656 21662628 23328984 25273066 26661696 28883504 31105312 37909599 43325256 46657968 50546132 57767008 62210624 75819198 86650512 93315936 101092264 115534016 151638396 173301024 186631872 202184528 303276792 346602048 404369056 606553584 808738112 1213107168 2426214336