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44202420 = 22325376637
BaseRepresentation
bin1010100010011…
…1100110110100
310002011201022200
42220213212310
542303434140
64215224500
71044500013
oct250474664
9102151280
1044202420
1122a50a29
1212978130
1392085a2
145c28a7a
153d32030
hex2a279b4

44202420 has 72 divisors (see below), whose sum is σ = 137725224. Its totient is φ = 11467008.

The previous prime is 44202407. The next prime is 44202421. The reversal of 44202420 is 2420244.

44202420 is a `hidden beast` number, since 4 + 420 + 242 + 0 = 666.

44202420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2056356 + 42146064 = 1434^2 + 6492^2 .

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 = 44202393 and 44202402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44202421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3342 + ... + 9978.

Almost surely, 244202420 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 44202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68862612).

44202420 is an abundant number, since it is smaller than the sum of its proper divisors (93522804).

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

44202420 is a wasteful number, since it uses less digits than its factorization.

44202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689 (or 6684 counting only the distinct ones).

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

The square root of 44202420 is about 6648.4900541401. The cubic root of 44202420 is about 353.5753790280.

Adding to 44202420 its reverse (2420244), we get a palindrome (46622664).

The spelling of 44202420 in words is "forty-four million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6637 6660 13274 19911 26548 33185 39822 59733 66370 79644 99555 119466 132740 199110 238932 245569 298665 398220 491138 597330 736707 982276 1194660 1227845 1473414 2210121 2455690 2946828 3683535 4420242 4911380 7367070 8840484 11050605 14734140 22101210 44202420