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44240742 = 2347133001
BaseRepresentation
bin1010100011000…
…0111101100110
310002020122220000
42220300331212
542311200432
64220122130
71045016520
oct250607546
9102218800
1044240742
1122a777a7
1212996346
13921cb70
145c38a10
153d3d57c
hex2a30f66

44240742 has 80 divisors (see below), whose sum is σ = 122049312. Its totient is φ = 11664000.

The previous prime is 44240741. The next prime is 44240761. The reversal of 44240742 is 24704244.

44240742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (44240741) 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 39 ways as a sum of consecutive naturals, for example, 13242 + ... + 16242.

Almost surely, 244240742 is an apocalyptic number.

44240742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44240742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61024656).

44240742 is an abundant number, since it is smaller than the sum of its proper divisors (77808570).

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

44240742 is a wasteful number, since it uses less digits than its factorization.

44240742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3026 counting only the distinct ones).

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

The square root of 44240742 is about 6651.3714375308. The cubic root of 44240742 is about 353.6775288035.

Adding to 44240742 its reverse (24704244), we get a palindrome (68944986).

The spelling of 44240742 in words is "forty-four million, two hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 3001 4914 6002 7371 9003 14742 18006 21007 27009 39013 42014 54018 63021 78026 81027 117039 126042 162054 189063 234078 243081 273091 351117 378126 486162 546182 567189 702234 819273 1053351 1134378 1638546 1701567 2106702 2457819 3160053 3403134 4915638 6320106 7373457 14746914 22120371 44240742