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42088319 = 7131134093
BaseRepresentation
bin1010000010001…
…1011101111111
32221012022022122
42200203131333
541233311234
64102033155
71020513320
oct240433577
987168278
1042088319
1121837639
12121187bb
138948240
145838447
153a6592e
hex282377f

42088319 has 16 divisors (see below), whose sum is σ = 52272192. Its totient is φ = 32997888.

The previous prime is 42088313. The next prime is 42088327. The reversal of 42088319 is 91388024.

It is a happy number.

It is not a de Polignac number, because 42088319 - 224 = 25311103 is a prime.

It is a super-2 number, since 2×420883192 = 3542853192491522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42088313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8237 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (3267012).

Almost surely, 242088319 is an apocalyptic number.

42088319 is a deficient number, since it is larger than the sum of its proper divisors (10183873).

42088319 is a wasteful number, since it uses less digits than its factorization.

42088319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 42088319 is about 6487.5510787970. The cubic root of 42088319 is about 347.8461440592.

The spelling of 42088319 in words is "forty-two million, eighty-eight thousand, three hundred nineteen".

Divisors: 1 7 13 91 113 791 1469 4093 10283 28651 53209 372463 462509 3237563 6012617 42088319