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44420100 = 22352197793
BaseRepresentation
bin1010100101110…
…0110000000100
310002120202220220
42221130300010
542332420400
64224024340
71046364444
oct251346004
9102522826
1044420100
112308a52a
1212a620b0
1392836aa
145c84124
153d767a0
hex2a5cc04

44420100 has 72 divisors (see below), whose sum is σ = 135303840. Its totient is φ = 11220480.

The previous prime is 44420071. The next prime is 44420111. The reversal of 44420100 is 102444.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44420100.

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, 1804 + ... + 9596.

It is an arithmetic number, because the mean of its divisors is an integer number (1879220).

Almost surely, 244420100 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 44420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67651920).

44420100 is an abundant number, since it is smaller than the sum of its proper divisors (90883740).

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

44420100 is a wasteful number, since it uses less digits than its factorization.

44420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44420100 is about 6664.8405832398. The cubic root of 44420100 is about 354.1548366675.

Adding to 44420100 its reverse (102444), we get a palindrome (44522544).

The spelling of 44420100 in words is "forty-four million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 7793 15586 23379 31172 38965 46758 77930 93516 116895 148067 155860 194825 233790 296134 389650 444201 467580 584475 592268 740335 779300 888402 1168950 1480670 1776804 2221005 2337900 2961340 3701675 4442010 7403350 8884020 11105025 14806700 22210050 44420100