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40272444 = 2233616113
BaseRepresentation
bin1001100110100…
…0001000111100
32210210001102000
42121220020330
540302204234
63555102300
7666211242
oct231501074
983701360
1040272444
1120807313
12115a1990
138460864
1454c4792
153807899
hex266823c

40272444 has 48 divisors (see below), whose sum is σ = 106139040. Its totient is φ = 13201920.

The previous prime is 40272443. The next prime is 40272487. The reversal of 40272444 is 44427204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40272443) 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 15 ways as a sum of consecutive naturals, for example, 3532 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (2211230).

Almost surely, 240272444 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 40272444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53069520).

40272444 is an abundant number, since it is smaller than the sum of its proper divisors (65866596).

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

40272444 is a wasteful number, since it uses less digits than its factorization.

40272444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6179 counting only the distinct ones).

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

The square root of 40272444 is about 6346.0573587071. The cubic root of 40272444 is about 342.7698876173.

Adding to 40272444 its reverse (44427204), we get a palindrome (84699648).

It can be divided in two parts, 40 and 272444, that added together give a square (272484 = 5222).

The spelling of 40272444 in words is "forty million, two hundred seventy-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6113 6588 12226 18339 24452 36678 55017 73356 110034 165051 220068 330102 372893 660204 745786 1118679 1491572 2237358 3356037 4474716 6712074 10068111 13424148 20136222 40272444