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40224040 = 23517149397
BaseRepresentation
bin1001100101110…
…0010100101000
32210200121000021
42121130110220
540244132130
63554050224
7665620153
oct231342450
983617007
1040224040
1120783a0a
1211579974
13844480c
1454b0c9a
1537e837a
hex265c528

40224040 has 64 divisors (see below), whose sum is σ = 96714000. Its totient is φ = 15003648.

The previous prime is 40224031. The next prime is 40224047. The reversal of 40224040 is 4042204.

It can be written as a sum of positive squares in 8 ways, for example, as 17926756 + 22297284 = 4234^2 + 4722^2 .

It is not an unprimeable number, because it can be changed into a prime (40224047) 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, 101122 + ... + 101518.

Almost surely, 240224040 is an apocalyptic number.

40224040 is a gapful number since it is divisible by the number (40) 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 40224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48357000).

40224040 is an abundant number, since it is smaller than the sum of its proper divisors (56489960).

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

40224040 is a wasteful number, since it uses less digits than its factorization.

40224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 40224040 is about 6342.2425056127. The cubic root of 40224040 is about 342.6325059605.

Adding to 40224040 its reverse (4042204), we get a palindrome (44266244).

It can be divided in two parts, 402 and 24040, that added together give a palindrome (24442).

The spelling of 40224040 in words is "forty million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 149 170 298 340 397 596 680 745 794 1192 1490 1588 1985 2533 2980 3176 3970 5066 5960 6749 7940 10132 12665 13498 15880 20264 25330 26996 33745 50660 53992 59153 67490 101320 118306 134980 236612 269960 295765 473224 591530 1005601 1183060 2011202 2366120 4022404 5028005 8044808 10056010 20112020 40224040