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42245820 = 2233578233
BaseRepresentation
bin1010000100100…
…1111010111100
32221111022101000
42201021322330
541303331240
64105250300
71022040441
oct241117274
987438330
1042245820
1121934a01
1212193990
1389a1b36
1458799c8
153a97430
hex2849ebc

42245820 has 48 divisors (see below), whose sum is σ = 131433120. Its totient is φ = 11265408.

The previous prime is 42245813. The next prime is 42245843. The reversal of 42245820 is 2854224.

It is a happy number.

42245820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38577 + ... + 39656.

It is an arithmetic number, because the mean of its divisors is an integer number (2738190).

Almost surely, 242245820 is an apocalyptic number.

It is an amenable number.

42245820 is an abundant number, since it is smaller than the sum of its proper divisors (89187300).

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

42245820 is a wasteful number, since it uses less digits than its factorization.

42245820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78251 (or 78243 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42245820 is about 6499.6784535852. The cubic root of 42245820 is about 348.2795019693.

The spelling of 42245820 in words is "forty-two million, two hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 78233 156466 234699 312932 391165 469398 704097 782330 938796 1173495 1408194 1564660 2112291 2346990 2816388 3520485 4224582 4693980 7040970 8449164 10561455 14081940 21122910 42245820