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40430544 = 24371110939
BaseRepresentation
bin1001101000111…
…0101111010000
32211002002021120
42122032233100
540322234134
64002322240
71000440210
oct232165720
984062246
1040430544
1120905080
1211659380
1384b77cb
145526240
153839649
hex268ebd0

40430544 has 80 divisors (see below), whose sum is σ = 130229760. Its totient is φ = 10500480.

The previous prime is 40430543. The next prime is 40430557. The reversal of 40430544 is 44503404.

40430544 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430543) 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, 1774 + ... + 9165.

It is an arithmetic number, because the mean of its divisors is an integer number (1627872).

Almost surely, 240430544 is an apocalyptic number.

40430544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65114880).

40430544 is an abundant number, since it is smaller than the sum of its proper divisors (89799216).

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

40430544 is a wasteful number, since it uses less digits than its factorization.

40430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 40430544 is about 6358.5017103088. The cubic root of 40430544 is about 343.2178461821.

Adding to 40430544 its reverse (44503404), we get a palindrome (84933948).

The spelling of 40430544 in words is "forty million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 10939 21878 32817 43756 65634 76573 87512 120329 131268 153146 175024 229719 240658 262536 306292 360987 459438 481316 525072 612584 721974 842303 918876 962632 1225168 1443948 1684606 1837752 1925264 2526909 2887896 3369212 3675504 5053818 5775792 6738424 10107636 13476848 20215272 40430544