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4434428900 = 22521134911551
BaseRepresentation
bin1000010000101000…
…00000001111100100
3102110001011022212102
410020110000033210
533040203211100
62012005111232
7214614011066
oct41024001744
912401138772
104434428900
111976135080
12a390b8518
13558928b35
14300d1b736
151ae489cd5
hex1085003e4

4434428900 has 72 divisors (see below), whose sum is σ = 10528492800. Its totient is φ = 1607760000.

The previous prime is 4434428863. The next prime is 4434428917. The reversal of 4434428900 is 98244344.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378125 + ... + 389675.

Almost surely, 24434428900 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 4434428900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264246400).

4434428900 is an abundant number, since it is smaller than the sum of its proper divisors (6094063900).

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

4434428900 is a wasteful number, since it uses less digits than its factorization.

4434428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11925 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 4434428900 is about 66591.5077168253. The cubic root of 4434428900 is about 1642.9054311848.

It can be divided in two parts, 4434 and 428900, that added together give a palindrome (433334).

The spelling of 4434428900 in words is "four billion, four hundred thirty-four million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 349 550 698 1100 1396 1745 3490 3839 6980 7678 8725 11551 15356 17450 19195 23102 34900 38390 46204 57755 76780 95975 115510 127061 191950 231020 254122 288775 383900 508244 577550 635305 1155100 1270610 2541220 3176525 4031299 6353050 8062598 12706100 16125196 20156495 40312990 44344289 80625980 88688578 100782475 177377156 201564950 221721445 403129900 443442890 886885780 1108607225 2217214450 4434428900