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42048981 = 3213536781
BaseRepresentation
bin1010000001100…
…1110111010101
32221010022100200
42200121313111
541231031411
64101131113
71020260532
oct240316725
987108320
1042048981
1121810027
12120b9a99
138933370
145827d89
153a58e56
hex2819dd5

42048981 has 24 divisors (see below), whose sum is σ = 66653496. Its totient is φ = 25384320.

The previous prime is 42048977. The next prime is 42048997. The reversal of 42048981 is 18984024.

42048981 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 4 ways, for example, as 3186225 + 38862756 = 1785^2 + 6234^2 .

It is not a de Polignac number, because 42048981 - 22 = 42048977 is a prime.

It is a super-2 number, since 2×420489812 = 3536233606276722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048901) 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 23 ways as a sum of consecutive naturals, for example, 2811 + ... + 9591.

It is an arithmetic number, because the mean of its divisors is an integer number (2777229).

Almost surely, 242048981 is an apocalyptic number.

It is an amenable number.

42048981 is a deficient number, since it is larger than the sum of its proper divisors (24604515).

42048981 is a wasteful number, since it uses less digits than its factorization.

42048981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42048981 is about 6484.5185634710. The cubic root of 42048981 is about 347.7377383916.

The spelling of 42048981 in words is "forty-two million, forty-eight thousand, nine hundred eighty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 6781 20343 61029 88153 264459 359393 793377 1078179 3234537 4672109 14016327 42048981