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42953890 = 25741789
BaseRepresentation
bin1010001111011…
…0110010100010
32222211021122211
42203312302202
541444011030
64132352334
71031050000
oct243666242
988737584
1042953890
1122278991
12124756aa
138b8c205
1459c1a70
153b8712a
hex28f6ca2

42953890 has 40 divisors (see below), whose sum is σ = 90248220. Its totient is φ = 14718816.

The previous prime is 42953863. The next prime is 42953893. The reversal of 42953890 is 9835924.

It is a happy number.

42953890 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 2 ways, for example, as 41203561 + 1750329 = 6419^2 + 1323^2 .

It is a super-2 number, since 2×429538902 = 3690073332264200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42953893) 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 19 ways as a sum of consecutive naturals, for example, 23116 + ... + 24904.

Almost surely, 242953890 is an apocalyptic number.

42953890 is an abundant number, since it is smaller than the sum of its proper divisors (47294330).

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

42953890 is an equidigital number, since it uses as much as digits as its factorization.

42953890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 42953890 is about 6553.9217267221. The cubic root of 42953890 is about 350.2145351389.

The spelling of 42953890 in words is "forty-two million, nine hundred fifty-three thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 1789 2401 3430 3578 4802 8945 12005 12523 17890 24010 25046 62615 87661 125230 175322 438305 613627 876610 1227254 3068135 4295389 6136270 8590778 21476945 42953890