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42980900 = 22522914821
BaseRepresentation
bin1010001111110…
…1011000100100
32222212122201012
42203331120210
542000342100
64133121352
71031221514
oct243753044
988778635
1042980900
1122297206
1212489258
138b9b5b1
1459cb844
153b90135
hex28fd624

42980900 has 36 divisors (see below), whose sum is σ = 96491220. Its totient is φ = 16598400.

The previous prime is 42980887. The next prime is 42980909. The reversal of 42980900 is 908924.

42980900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1094116 + 41886784 = 1046^2 + 6472^2 .

It is not an unprimeable number, because it can be changed into a prime (42980909) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4511 + ... + 10310.

Almost surely, 242980900 is an apocalyptic number.

It is an amenable number.

42980900 is an abundant number, since it is smaller than the sum of its proper divisors (53510320).

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

42980900 is a wasteful number, since it uses less digits than its factorization.

42980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14864 (or 14857 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 42980900 is about 6555.9820011955. The cubic root of 42980900 is about 350.2879263387.

The spelling of 42980900 in words is "forty-two million, nine hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 14821 29642 59284 74105 148210 296420 370525 429809 741050 859618 1482100 1719236 2149045 4298090 8596180 10745225 21490450 42980900