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42415080 = 2335353459
BaseRepresentation
bin1010000111001…
…1001111101000
32221210220112220
42201303033220
541324240310
64113034040
71023344061
oct241631750
987726486
1042415080
1121a40094
1212255920
138a30ba6
1458c1568
153acc670
hex28733e8

42415080 has 32 divisors (see below), whose sum is σ = 127245600. Its totient is φ = 11310656.

The previous prime is 42415067. The next prime is 42415111. The reversal of 42415080 is 8051424.

42415080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424150802 = 3598078022812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42415080.

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 7 ways as a sum of consecutive naturals, for example, 176610 + ... + 176849.

It is an arithmetic number, because the mean of its divisors is an integer number (3976425).

Almost surely, 242415080 is an apocalyptic number.

42415080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42415080 is an abundant number, since it is smaller than the sum of its proper divisors (84830520).

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

42415080 is a wasteful number, since it uses less digits than its factorization.

42415080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353473 (or 353469 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42415080 is about 6512.6860817945. The cubic root of 42415080 is about 348.7440152620.

The spelling of 42415080 in words is "forty-two million, four hundred fifteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353459 706918 1060377 1413836 1767295 2120754 2827672 3534590 4241508 5301885 7069180 8483016 10603770 14138360 21207540 42415080