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40440440 = 23523113389
BaseRepresentation
bin1001101001000…
…1001001111000
32211002120212002
42122101021320
540323043230
64002440132
71000511105
oct232211170
984076762
1040440440
1120911557
1211663048
1384bc171
145529aac
15383c545
hex2691278

40440440 has 64 divisors (see below), whose sum is σ = 96033600. Its totient is φ = 15296512.

The previous prime is 40440419. The next prime is 40440451. The reversal of 40440440 is 4404404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 103766 + ... + 104154.

It is an arithmetic number, because the mean of its divisors is an integer number (1500525).

Almost surely, 240440440 is an apocalyptic number.

40440440 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 40440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48016800).

40440440 is an abundant number, since it is smaller than the sum of its proper divisors (55593160).

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

40440440 is a wasteful number, since it uses less digits than its factorization.

40440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 40440440 is about 6359.2798334403. The cubic root of 40440440 is about 343.2458465205.

Adding to 40440440 its reverse (4404404), we get a palindrome (44844844).

The spelling of 40440440 in words is "forty million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 113 115 184 226 230 389 452 460 565 778 904 920 1130 1556 1945 2260 2599 3112 3890 4520 5198 7780 8947 10396 12995 15560 17894 20792 25990 35788 43957 44735 51980 71576 87914 89470 103960 175828 178940 219785 351656 357880 439570 879140 1011011 1758280 2022022 4044044 5055055 8088088 10110110 20220220 40440440