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42377868 = 2232132331127
BaseRepresentation
bin1010000110101…
…0001010001100
32221202000111200
42201222022030
541322042433
64112145500
71023130431
oct241521214
987660450
1042377868
1121a15135
1212238290
138a19c80
1458b1b88
153ac1613
hex286a28c

42377868 has 144 divisors (see below), whose sum is σ = 125239296. Its totient is φ = 11975040.

The previous prime is 42377851. The next prime is 42377869. The reversal of 42377868 is 86877324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42377869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333621 + ... + 333747.

Almost surely, 242377868 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 42377868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62619648).

42377868 is an abundant number, since it is smaller than the sum of its proper divisors (82861428).

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

42377868 is a wasteful number, since it uses less digits than its factorization.

42377868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 42377868 is about 6509.8285691714. The cubic root of 42377868 is about 348.6419976201.

The spelling of 42377868 in words is "forty-two million, three hundred seventy-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 31 36 39 46 52 62 69 78 92 93 117 124 127 138 156 186 207 234 254 276 279 299 372 381 403 414 468 508 558 598 713 762 806 828 897 1116 1143 1196 1209 1426 1524 1612 1651 1794 2139 2286 2418 2691 2852 2921 3302 3588 3627 3937 4278 4572 4836 4953 5382 5842 6417 6604 7254 7874 8556 8763 9269 9906 10764 11684 11811 12834 14508 14859 15748 17526 18538 19812 23622 25668 26289 27807 29718 35052 35433 37076 37973 47244 51181 52578 55614 59436 70866 75946 83421 90551 102362 105156 111228 113919 141732 151892 153543 166842 181102 204724 227838 271653 307086 333684 341757 362204 455676 460629 543306 614172 683514 814959 921258 1086612 1177163 1367028 1629918 1842516 2354326 3259836 3531489 4708652 7062978 10594467 14125956 21188934 42377868