Search a number
-
+
42284310 = 23519312393
BaseRepresentation
bin1010000101001…
…1010100010110
32221120021011120
42201103110112
541311044220
64110144410
71022260605
oct241232426
987507146
1042284310
1121960912
12121b2106
1389b6503
145889a3c
153aa3a40
hex2853516

42284310 has 64 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 10333440.

The previous prime is 42284309. The next prime is 42284353. The reversal of 42284310 is 1348224.

It is a super-2 number, since 2×422843102 = 3575925744352200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16474 + ... + 18866.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 242284310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42284310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

42284310 is an abundant number, since it is smaller than the sum of its proper divisors (68031210).

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

42284310 is a wasteful number, since it uses less digits than its factorization.

42284310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42284310 is about 6502.6386951760. The cubic root of 42284310 is about 348.3852418897.

The spelling of 42284310 in words is "forty-two million, two hundred eighty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2393 2945 3534 4786 5890 7179 8835 11965 14358 17670 23930 35895 45467 71790 74183 90934 136401 148366 222549 227335 272802 370915 445098 454670 682005 741830 1112745 1364010 1409477 2225490 2818954 4228431 7047385 8456862 14094770 21142155 42284310