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40407024 = 2437241499
BaseRepresentation
bin1001101000100…
…0111111110000
32211000220000110
42122020333300
540321011044
64002021320
71000311510
oct232107760
984026013
1040407024
1120899439
1211647840
1384a9ba8
14551b840
1538326b9
hex2688ff0

40407024 has 80 divisors (see below), whose sum is σ = 120032000. Its totient is φ = 11473920.

The previous prime is 40407007. The next prime is 40407049. The reversal of 40407024 is 42070404.

40407024 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 (21).

It is a congruent number.

It is an unprimeable number.

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, 80727 + ... + 81225.

It is an arithmetic number, because the mean of its divisors is an integer number (1500400).

Almost surely, 240407024 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 40407024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60016000).

40407024 is an abundant number, since it is smaller than the sum of its proper divisors (79624976).

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

40407024 is a wasteful number, since it uses less digits than its factorization.

40407024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 40407024 is about 6356.6519489429. The cubic root of 40407024 is about 343.1512789386.

Adding to 40407024 its reverse (42070404), we get a palindrome (82477428).

The spelling of 40407024 in words is "forty million, four hundred seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 499 723 964 998 1446 1497 1687 1928 1996 2892 2994 3374 3493 3856 3992 5061 5784 5988 6748 6986 7984 10122 10479 11568 11976 13496 13972 20244 20958 23952 26992 27944 40488 41916 55888 80976 83832 120259 167664 240518 360777 481036 721554 841813 962072 1443108 1683626 1924144 2525439 2886216 3367252 5050878 5772432 6734504 10101756 13469008 20203512 40407024