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42767690 = 257287281
BaseRepresentation
bin1010001100100…
…1010101001010
32222110211020112
42203021111022
541422031230
64124354322
71026343100
oct243112512
988424215
1042767690
1122160aa9
12123a59a2
138b25534
145973c70
153b4bd95
hex28c954a

42767690 has 24 divisors (see below), whose sum is σ = 89551332. Its totient is φ = 14663040.

The previous prime is 42767653. The next prime is 42767713. The reversal of 42767690 is 9676724.

It can be written as a sum of positive squares in 2 ways, for example, as 39778249 + 2989441 = 6307^2 + 1729^2 .

It is a super-2 number, since 2×427676902 = 3658150615872200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 43151 + ... + 44130.

Almost surely, 242767690 is an apocalyptic number.

42767690 is an abundant number, since it is smaller than the sum of its proper divisors (46783642).

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

42767690 is a wasteful number, since it uses less digits than its factorization.

42767690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87302 (or 87295 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 42767690 is about 6539.7010635044. The cubic root of 42767690 is about 349.7077560493.

The spelling of 42767690 in words is "forty-two million, seven hundred sixty-seven thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 87281 174562 436405 610967 872810 1221934 3054835 4276769 6109670 8553538 21383845 42767690