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42055024 = 2411238949
BaseRepresentation
bin1010000001101…
…1010101110000
32221010121122111
42200123111300
541231230044
64101215104
71020314254
oct240332560
987117574
1042055024
1121814620
1212101494
13893603b
14582a264
153a5ab34
hex281b570

42055024 has 20 divisors (see below), whose sum is σ = 88889400. Its totient is φ = 19115840.

The previous prime is 42055019. The next prime is 42055033.

42055024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42054986 and 42055004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119299 + ... + 119650.

It is an arithmetic number, because the mean of its divisors is an integer number (4444470).

Almost surely, 242055024 is an apocalyptic number.

42055024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42055024 is an abundant number, since it is smaller than the sum of its proper divisors (46834376).

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

42055024 is a wasteful number, since it uses less digits than its factorization.

42055024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238968 (or 238962 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 42055024 is about 6484.9845026800. The cubic root of 42055024 is about 347.7543957789.

It can be divided in two parts, 4205 and 5024, that added together give a palindrome (9229).

The spelling of 42055024 in words is "forty-two million, fifty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 238949 477898 955796 1911592 2628439 3823184 5256878 10513756 21027512 42055024