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44274420 = 223252231103
BaseRepresentation
bin1010100011100…
…1001011110100
310002022101002100
42220321023310
542313240140
64220542100
71045216641
oct250711364
9102271070
1044274420
1122aa0033
12129b1930
1392322a8
145c46dc8
153d48530
hex2a392f4

44274420 has 72 divisors (see below), whose sum is σ = 135023616. Its totient is φ = 11742912.

The previous prime is 44274413. The next prime is 44274421. The reversal of 44274420 is 2447244.

44274420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44274421) 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, 39589 + ... + 40691.

It is an arithmetic number, because the mean of its divisors is an integer number (1875328).

Almost surely, 244274420 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 44274420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67511808).

44274420 is an abundant number, since it is smaller than the sum of its proper divisors (90749196).

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

44274420 is a wasteful number, since it uses less digits than its factorization.

44274420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 44274420 is about 6653.9026142558. The cubic root of 44274420 is about 353.7672510077.

The spelling of 44274420 in words is "forty-four million, two hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1103 1115 1338 2007 2206 2230 2676 3309 3345 4014 4412 4460 5515 6618 6690 8028 9927 10035 11030 13236 13380 16545 19854 20070 22060 33090 39708 40140 49635 66180 99270 198540 245969 491938 737907 983876 1229845 1475814 2213721 2459690 2951628 3689535 4427442 4919380 7379070 8854884 11068605 14758140 22137210 44274420