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40042240 = 285741109
BaseRepresentation
bin1001100010111…
…1111100000000
32210100100121221
42120233330000
540222322430
63550124424
7664232140
oct230577400
983310557
1040042240
112066a367
12114b0714
1383acb44
145464920
1537ae57a
hex262ff00

40042240 has 144 divisors (see below), whose sum is σ = 113319360. Its totient is φ = 13271040.

The previous prime is 40042231. The next prime is 40042273. The reversal of 40042240 is 4224004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367306 + ... + 367414.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 240042240 is an apocalyptic number.

40042240 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 40042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56659680).

40042240 is an abundant number, since it is smaller than the sum of its proper divisors (73277120).

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

40042240 is a wasteful number, since it uses less digits than its factorization.

40042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

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

The square root of 40042240 is about 6327.8938044187. The cubic root of 40042240 is about 342.1155292923.

Adding to 40042240 its reverse (4224004), we get a palindrome (44266244).

The spelling of 40042240 in words is "forty million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 109 112 128 140 160 164 205 218 224 256 280 287 320 328 410 436 448 545 560 574 640 656 763 820 872 896 1090 1120 1148 1280 1312 1435 1526 1640 1744 1792 2180 2240 2296 2624 2870 3052 3280 3488 3815 4360 4469 4480 4592 5248 5740 6104 6560 6976 7630 8720 8938 8960 9184 10496 11480 12208 13120 13952 15260 17440 17876 18368 22345 22960 24416 26240 27904 30520 31283 34880 35752 36736 44690 45920 48832 52480 61040 62566 69760 71504 73472 89380 91840 97664 122080 125132 139520 143008 156415 178760 183680 195328 244160 250264 286016 312830 357520 367360 488320 500528 572032 625660 715040 976640 1001056 1144064 1251320 1430080 2002112 2502640 2860160 4004224 5005280 5720320 8008448 10010560 20021120 40042240