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42436240 = 245711832
BaseRepresentation
bin1010000111100…
…0011010010000
32221211222120121
42201320122100
541330424430
64113320024
71023462550
oct241703220
987758517
1042436240
1121a54a80
1212266014
138a3a702
1458c9160
153ad3a7a
hex2878690

42436240 has 120 divisors (see below), whose sum is σ = 124509888. Its totient is φ = 13067520.

The previous prime is 42436223. The next prime is 42436249. The reversal of 42436240 is 4263424.

It is not an unprimeable number, because it can be changed into a prime (42436249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511239 + ... + 511321.

Almost surely, 242436240 is an apocalyptic number.

42436240 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 42436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62254944).

42436240 is an abundant number, since it is smaller than the sum of its proper divisors (82073648).

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

42436240 is a wasteful number, since it uses less digits than its factorization.

42436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 42436240 is about 6514.3104009557. The cubic root of 42436240 is about 348.8019993292.

Adding to 42436240 its reverse (4263424), we get a palindrome (46699664).

The spelling of 42436240 in words is "forty-two million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 83 88 110 112 140 154 166 176 220 280 308 332 385 415 440 560 581 616 664 770 830 880 913 1162 1232 1328 1540 1660 1826 2324 2905 3080 3320 3652 4565 4648 5810 6160 6391 6640 6889 7304 9130 9296 11620 12782 13778 14608 18260 23240 25564 27556 31955 34445 36520 46480 48223 51128 55112 63910 68890 73040 75779 96446 102256 110224 127820 137780 151558 192892 241115 255640 275560 303116 378895 385784 482230 511280 530453 551120 606232 757790 771568 964460 1060906 1212464 1515580 1928920 2121812 2652265 3031160 3857840 4243624 5304530 6062320 8487248 10609060 21218120 42436240