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42999336 = 233673101
BaseRepresentation
bin1010010000000…
…1111000101000
32222220121000000
42210001320220
542001434321
64133343000
71031326332
oct244017050
988817000
1042999336
11222aa046
1212497a60
138ba6ac3
1459d4452
153b95826
hex2901e28

42999336 has 112 divisors (see below), whose sum is σ = 123749460. Its totient is φ = 13996800.

The previous prime is 42999331. The next prime is 42999343. The reversal of 42999336 is 63399924.

It can be written as a sum of positive squares in 2 ways, for example, as 38564100 + 4435236 = 6210^2 + 2106^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42999291 and 42999300.

It is not an unprimeable number, because it can be changed into a prime (42999331) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 425686 + ... + 425786.

Almost surely, 242999336 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 42999336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61874730).

42999336 is an abundant number, since it is smaller than the sum of its proper divisors (80750124).

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

42999336 is a wasteful number, since it uses less digits than its factorization.

42999336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 42999336 is about 6557.3878945812. The cubic root of 42999336 is about 350.3380027299.

The spelling of 42999336 in words is "forty-two million, nine hundred ninety-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 101 108 146 162 202 216 219 243 292 303 324 404 438 486 584 606 648 657 729 808 876 909 972 1212 1314 1458 1752 1818 1944 1971 2424 2628 2727 2916 3636 3942 5256 5454 5832 5913 7272 7373 7884 8181 10908 11826 14746 15768 16362 17739 21816 22119 23652 24543 29492 32724 35478 44238 47304 49086 53217 58984 65448 66357 70956 73629 88476 98172 106434 132714 141912 147258 176952 196344 199071 212868 265428 294516 398142 425736 530856 589032 597213 796284 1194426 1592568 1791639 2388852 3583278 4777704 5374917 7166556 10749834 14333112 21499668 42999336