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4228917344 = 252910742589
BaseRepresentation
bin1111110000010000…
…0010100001100000
3101220201110021000022
43330010002201200
532130100323334
61535344213012
7206540130041
oct37404024140
911821407008
104228917344
111880128213
129a030a168
13525191c72
142c19028c8
1519b3e282e
hexfc102860

4228917344 has 48 divisors (see below), whose sum is σ = 8693470800. Its totient is φ = 2022418944.

The previous prime is 4228917317. The next prime is 4228917347. The reversal of 4228917344 is 4437198224.

It is a junction number, because it is equal to n+sod(n) for n = 4228917295 and 4228917304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228917347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78002 + ... + 120590.

It is an arithmetic number, because the mean of its divisors is an integer number (181113975).

Almost surely, 24228917344 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 4228917344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346735400).

4228917344 is an abundant number, since it is smaller than the sum of its proper divisors (4464553456).

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

4228917344 is a wasteful number, since it uses less digits than its factorization.

4228917344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42735 (or 42727 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 4228917344 is about 65030.1264338307. The cubic root of 4228917344 is about 1617.1230430026.

The spelling of 4228917344 in words is "four billion, two hundred twenty-eight million, nine hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 107 116 214 232 428 464 856 928 1712 3103 3424 6206 12412 24824 42589 49648 85178 99296 170356 340712 681424 1235081 1362848 2470162 4557023 4940324 9114046 9880648 18228092 19761296 36456184 39522592 72912368 132153667 145824736 264307334 528614668 1057229336 2114458672 4228917344