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42302512 = 24719103193
BaseRepresentation
bin1010000101011…
…1110000110000
32221121012010201
42201113300300
541312140022
64110404544
71022364640
oct241276060
987535121
1042302512
112197355a
1212200754
1389c1895
145892520
153aa9127
hex2857c30

42302512 has 80 divisors (see below), whose sum is σ = 100072960. Its totient is φ = 16920576.

The previous prime is 42302473. The next prime is 42302521. The reversal of 42302512 is 21520324.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 42302512.

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 15 ways as a sum of consecutive naturals, for example, 219088 + ... + 219280.

It is an arithmetic number, because the mean of its divisors is an integer number (1250912).

Almost surely, 242302512 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 42302512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50036480).

42302512 is an abundant number, since it is smaller than the sum of its proper divisors (57770448).

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

42302512 is a wasteful number, since it uses less digits than its factorization.

42302512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42302512 is about 6504.0381302695. The cubic root of 42302512 is about 348.4352241682.

Adding to 42302512 its reverse (21520324), we get a palindrome (63822836).

The spelling of 42302512 in words is "forty-two million, three hundred two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 103 112 133 152 193 206 266 304 386 412 532 721 772 824 1064 1351 1442 1544 1648 1957 2128 2702 2884 3088 3667 3914 5404 5768 7334 7828 10808 11536 13699 14668 15656 19879 21616 25669 27398 29336 31312 39758 51338 54796 58672 79516 102676 109592 139153 159032 205352 219184 278306 318064 377701 410704 556612 755402 1113224 1510804 2226448 2643907 3021608 5287814 6043216 10575628 21151256 42302512