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42687440 = 245533593
BaseRepresentation
bin1010001011010…
…1101111010000
32222022202011022
42202311233100
541411444230
64122535012
71025560115
oct242655720
988282138
1042687440
1122106784
1212367468
138ac7b53
14595290c
153b331e5
hex28b5bd0

42687440 has 20 divisors (see below), whose sum is σ = 99248484. Its totient is φ = 17074944.

The previous prime is 42687439. The next prime is 42687451. The reversal of 42687440 is 4478624.

42687440 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 6012304 + 36675136 = 2452^2 + 6056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×426874403 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42687440.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 266717 + ... + 266876.

Almost surely, 242687440 is an apocalyptic number.

42687440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42687440 is an abundant number, since it is smaller than the sum of its proper divisors (56561044).

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

42687440 is a wasteful number, since it uses less digits than its factorization.

42687440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533606 (or 533600 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 42687440 is about 6533.5625810120. The cubic root of 42687440 is about 349.4888866253.

The spelling of 42687440 in words is "forty-two million, six hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 533593 1067186 2134372 2667965 4268744 5335930 8537488 10671860 21343720 42687440