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40444040 = 23571341271
BaseRepresentation
bin1001101001001…
…0000010001000
32211002202210102
42122102002020
540323202130
64002504532
71000524440
oct232220210
984082712
1040444040
112091422a
1211665148
1384c09b0
14552b120
15383d645
hex2692088

40444040 has 128 divisors (see below), whose sum is σ = 115153920. Its totient is φ = 12441600.

The previous prime is 40444031. The next prime is 40444091. The reversal of 40444040 is 4044404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149105 + ... + 149375.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 240444040 is an apocalyptic number.

40444040 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 40444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

40444040 is an abundant number, since it is smaller than the sum of its proper divisors (74709880).

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

40444040 is a wasteful number, since it uses less digits than its factorization.

40444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

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

The square root of 40444040 is about 6359.5628780601. The cubic root of 40444040 is about 343.2560314441.

40444040 divided by its sum of digits (20) gives a palindrome (2022202).

Adding to 40444040 its reverse (4044404), we get a palindrome (44488444).

It can be divided in two parts, 404 and 44040, that added together give a palindrome (44444).

The spelling of 40444040 in words is "forty million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 271 280 287 328 364 410 455 520 533 542 574 728 820 910 1066 1084 1148 1355 1435 1640 1820 1897 2132 2168 2296 2665 2710 2870 3523 3640 3731 3794 4264 5330 5420 5740 7046 7462 7588 9485 10660 10840 11111 11480 14092 14924 15176 17615 18655 18970 21320 22222 24661 28184 29848 35230 37310 37940 44444 49322 55555 70460 74620 75880 77777 88888 98644 111110 123305 140920 144443 149240 155554 197288 222220 246610 288886 311108 388885 444440 493220 577772 622216 722215 777770 986440 1011101 1155544 1444430 1555540 2022202 2888860 3111080 4044404 5055505 5777720 8088808 10111010 20222020 40444040