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42254036 = 22112343971
BaseRepresentation
bin1010000100101…
…1111011010100
32221111201122022
42201023323110
541304112121
64105352312
71022103416
oct241137324
987451568
1042254036
11219400a0
1212198698
1389a57b6
14587c9b6
153a99aab
hex284bed4

42254036 has 48 divisors (see below), whose sum is σ = 86220288. Its totient is φ = 17925600.

The previous prime is 42253973. The next prime is 42254041. The reversal of 42254036 is 63045224.

42254036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42253996 and 42254014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43031 + ... + 44001.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 242254036 is an apocalyptic number.

42254036 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42254036 is an abundant number, since it is smaller than the sum of its proper divisors (43966252).

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

42254036 is a wasteful number, since it uses less digits than its factorization.

42254036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 42254036 is about 6500.3104541245. The cubic root of 42254036 is about 348.3020783955.

The spelling of 42254036 in words is "forty-two million, two hundred fifty-four thousand, thirty-six".

Divisors: 1 2 4 11 22 23 43 44 46 86 92 172 253 473 506 946 971 989 1012 1892 1942 1978 3884 3956 10681 10879 21362 21758 22333 41753 42724 43516 44666 83506 89332 167012 245663 459283 491326 918566 960319 982652 1837132 1920638 3841276 10563509 21127018 42254036