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4262229888 = 273715110501
BaseRepresentation
bin1111111000001100…
…0111011110000000
3102000001010201020020
43332003013132000
532212112324023
61542534213440
7210423233130
oct37603073600
912001121206
104262229888
111897a10444
129ab4b4280
1352c056927
142c60d4ac0
1519e2c2de3
hexfe0c7780

4262229888 has 128 divisors (see below), whose sum is σ = 13025840640. Its totient is φ = 1209600000.

The previous prime is 4262229887. The next prime is 4262229941. The reversal of 4262229888 is 8889222624.

4262229888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4262229888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4262229887) 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, 400638 + ... + 411138.

It is an arithmetic number, because the mean of its divisors is an integer number (101764380).

Almost surely, 24262229888 is an apocalyptic number.

4262229888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4262229888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512920320).

4262229888 is an abundant number, since it is smaller than the sum of its proper divisors (8763610752).

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

4262229888 is a wasteful number, since it uses less digits than its factorization.

4262229888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10664 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 4262229888 is about 65285.7556286209. The cubic root of 4262229888 is about 1621.3581416689.

The spelling of 4262229888 in words is "four billion, two hundred sixty-two million, two hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 302 336 384 448 453 604 672 896 906 1057 1208 1344 1812 2114 2416 2688 3171 3624 4228 4832 6342 7248 8456 9664 10501 12684 14496 16912 19328 21002 25368 28992 31503 33824 42004 50736 57984 63006 67648 73507 84008 101472 126012 135296 147014 168016 202944 220521 252024 294028 336032 405888 441042 504048 588056 672064 882084 1008096 1176112 1344128 1585651 1764168 2016192 2352224 3171302 3528336 4032384 4704448 4756953 6342604 7056672 9408896 9513906 11099557 12685208 14113344 19027812 22199114 25370416 28226688 33298671 38055624 44398228 50740832 66597342 76111248 88796456 101481664 133194684 152222496 177592912 202963328 266389368 304444992 355185824 532778736 608889984 710371648 1065557472 1420743296 2131114944 4262229888