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42886640 = 2453117293
BaseRepresentation
bin1010001110011…
…0010111110000
32222200212102002
42203212113300
541434333030
64131113132
71030346636
oct243462760
988625362
1042886640
1122232405
12124427a8
138b67714
1459a5356
153b72245
hex28e65f0

42886640 has 40 divisors (see below), whose sum is σ = 102933888. Its totient is φ = 16600320.

The previous prime is 42886639. The next prime is 42886661. The reversal of 42886640 is 4668824.

It is a happy number.

42886640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42886594 and 42886603.

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 7 ways as a sum of consecutive naturals, for example, 6167 + ... + 11126.

Almost surely, 242886640 is an apocalyptic number.

42886640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42886640 is an abundant number, since it is smaller than the sum of its proper divisors (60047248).

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

42886640 is a wasteful number, since it uses less digits than its factorization.

42886640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17337 (or 17331 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 42886640 is about 6548.7892010661. The cubic root of 42886640 is about 350.0316706035.

The spelling of 42886640 in words is "forty-two million, eight hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 17293 34586 69172 86465 138344 172930 276688 345860 536083 691720 1072166 1383440 2144332 2680415 4288664 5360830 8577328 10721660 21443320 42886640