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42188240 = 245527353
BaseRepresentation
bin1010000011101…
…1110111010000
32221101101101102
42200323313100
541300010430
64104123532
71021410533
oct240736720
987341342
1042188240
11218a5716
12121665a8
138981873
145862a1a
153a85345
hex283bdd0

42188240 has 20 divisors (see below), whose sum is σ = 98087844. Its totient is φ = 16875264.

The previous prime is 42188239. The next prime is 42188261. The reversal of 42188240 is 4288124.

42188240 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 30382144 + 11806096 = 5512^2 + 3436^2 .

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

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, 263597 + ... + 263756.

Almost surely, 242188240 is an apocalyptic number.

42188240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42188240 is an abundant number, since it is smaller than the sum of its proper divisors (55899604).

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

42188240 is a wasteful number, since it uses less digits than its factorization.

42188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527366 (or 527360 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 42188240 is about 6495.2474933600. The cubic root of 42188240 is about 348.1211979317.

The spelling of 42188240 in words is "forty-two million, one hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 527353 1054706 2109412 2636765 4218824 5273530 8437648 10547060 21094120 42188240