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44268432 = 24313611163
BaseRepresentation
bin1010100011011…
…1101110010000
310002022001212120
42220313232100
542313042212
64220454240
71045163325
oct250675620
9102261776
1044268432
1122a9658a
12129aa380
13922c650
145c44b4c
153d4688c
hex2a37b90

44268432 has 80 divisors (see below), whose sum is σ = 125283648. Its totient is φ = 13386240.

The previous prime is 44268421. The next prime is 44268439. The reversal of 44268432 is 23486244.

44268432 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 (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44268393 and 44268402.

It is not an unprimeable number, because it can be changed into a prime (44268439) 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 15 ways as a sum of consecutive naturals, for example, 37483 + ... + 38645.

Almost surely, 244268432 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 44268432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62641824).

44268432 is an abundant number, since it is smaller than the sum of its proper divisors (81015216).

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

44268432 is a wasteful number, since it uses less digits than its factorization.

44268432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 44268432 is about 6653.4526375409. The cubic root of 44268432 is about 353.7513015889.

The spelling of 44268432 in words is "forty-four million, two hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1163 1464 1586 2326 2379 2928 3172 3489 4652 4758 6344 6978 9304 9516 12688 13956 15119 18608 19032 27912 30238 38064 45357 55824 60476 70943 90714 120952 141886 181428 212829 241904 283772 362856 425658 567544 725712 851316 922259 1135088 1702632 1844518 2766777 3405264 3689036 5533554 7378072 11067108 14756144 22134216 44268432