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44042220 = 22325307797
BaseRepresentation
bin1010100000000…
…0011111101100
310001212120120100
42220000133230
542233322340
64211551100
71043231655
oct250003754
9101776510
1044042220
1122951632
12128bb490
1391806b1
145bc652c
153cee830
hex2a007ec

44042220 has 72 divisors (see below), whose sum is σ = 134198064. Its totient is φ = 11691648.

The previous prime is 44042197. The next prime is 44042221. The reversal of 44042220 is 2224044.

44042220 is a `hidden beast` number, since 440 + 4 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44042193 and 44042202.

It is not an unprimeable number, because it can be changed into a prime (44042221) 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 23 ways as a sum of consecutive naturals, for example, 54862 + ... + 55658.

It is an arithmetic number, because the mean of its divisors is an integer number (1863862).

Almost surely, 244042220 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 44042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67099032).

44042220 is an abundant number, since it is smaller than the sum of its proper divisors (90155844).

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

44042220 is a wasteful number, since it uses less digits than its factorization.

44042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 44042220 is about 6636.4312698920. The cubic root of 44042220 is about 353.1477150919.

Adding to 44042220 its reverse (2224044), we get a palindrome (46266264).

The spelling of 44042220 in words is "forty-four million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 797 921 1228 1535 1594 1842 2391 2763 3070 3188 3684 3985 4605 4782 5526 6140 7173 7970 9210 9564 11052 11955 13815 14346 15940 18420 23910 27630 28692 35865 47820 55260 71730 143460 244679 489358 734037 978716 1223395 1468074 2202111 2446790 2936148 3670185 4404222 4893580 7340370 8808444 11010555 14680740 22021110 44042220