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44240020 = 225112101181
BaseRepresentation
bin1010100011000…
…0110010010100
310002020121220021
42220300302110
542311140040
64220114524
71045014436
oct250606224
9102217807
1044240020
1122a77200
1212995a44
13921c736
145c38656
153d3d24a
hex2a30c94

44240020 has 72 divisors (see below), whose sum is σ = 103698504. Its totient is φ = 15840000.

The previous prime is 44240011. The next prime is 44240023. The reversal of 44240020 is 2004244.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 40985604 = 1804^2 + 6402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44239976 and 44240003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44240023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244330 + ... + 244510.

It is an arithmetic number, because the mean of its divisors is an integer number (1440257).

Almost surely, 244240020 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 44240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51849252).

44240020 is an abundant number, since it is smaller than the sum of its proper divisors (59458484).

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

44240020 is a wasteful number, since it uses less digits than its factorization.

44240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 44240020 is about 6651.3171627881. The cubic root of 44240020 is about 353.6756048110.

Adding to 44240020 its reverse (2004244), we get a palindrome (46244264).

The spelling of 44240020 in words is "forty-four million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 181 202 220 242 362 404 484 505 605 724 905 1010 1111 1210 1810 1991 2020 2222 2420 3620 3982 4444 5555 7964 9955 11110 12221 18281 19910 21901 22220 24442 36562 39820 43802 48884 61105 73124 87604 91405 109505 122210 182810 201091 219010 244420 365620 402182 438020 804364 1005455 2010910 2212001 4021820 4424002 8848004 11060005 22120010 44240020