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4404040088 = 23753227997
BaseRepresentation
bin1000001101000000…
…00101000110011000
3102100220222102020212
410012200011012120
533004413240323
62005001510252
7214064503010
oct40640050630
912326872225
104404040088
11195aa69558
12a2aaa2388
13552548ba6
142dac8ac40
151ab985b78
hex106805198

4404040088 has 48 divisors (see below), whose sum is σ = 9618992880. Its totient is φ = 1851767424.

The previous prime is 4404040063. The next prime is 4404040093. The reversal of 4404040088 is 8800404044.

It is a happy number.

It is a super-5 number, since 5×44040400885 (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143306 + ... + 171302.

It is an arithmetic number, because the mean of its divisors is an integer number (200395685).

Almost surely, 24404040088 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 4404040088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809496440).

4404040088 is an abundant number, since it is smaller than the sum of its proper divisors (5214952792).

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

4404040088 is a wasteful number, since it uses less digits than its factorization.

4404040088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28116 (or 28059 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4404040088 is about 66362.9421288719. The cubic root of 4404040088 is about 1639.1439226297.

The spelling of 4404040088 in words is "four billion, four hundred four million, forty thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2809 2968 5618 11236 19663 22472 27997 39326 55994 78652 111988 157304 195979 223976 391958 783916 1483841 1567832 2967682 5935364 10386887 11870728 20773774 41547548 78643573 83095096 157287146 314574292 550505011 629148584 1101010022 2202020044 4404040088