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42693252 = 22372272239
BaseRepresentation
bin1010001011011…
…1001010000100
32222100001010120
42202313022010
541412141002
64123021540
71025613060
oct242671204
988301116
1042693252
1122110088
121236a8b0
138aca6a4
145954aa0
153b34cbc
hex28b7284

42693252 has 48 divisors (see below), whose sum is σ = 114401280. Its totient is φ = 12138912.

The previous prime is 42693241. The next prime is 42693263. The reversal of 42693252 is 25239624.

It is an interprime number because it is at equal distance from previous prime (42693241) and next prime (42693263).

It is a zygodrome in base 11.

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 15 ways as a sum of consecutive naturals, for example, 17949 + ... + 20187.

It is an arithmetic number, because the mean of its divisors is an integer number (2383360).

Almost surely, 242693252 is an apocalyptic number.

42693252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42693252 is an abundant number, since it is smaller than the sum of its proper divisors (71708028).

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

42693252 is a wasteful number, since it uses less digits than its factorization.

42693252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2478 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 42693252 is about 6534.0073461850. The cubic root of 42693252 is about 349.5047471628.

The spelling of 42693252 in words is "forty-two million, six hundred ninety-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 227 454 681 908 1362 1589 2239 2724 3178 4478 4767 6356 6717 8956 9534 13434 15673 19068 26868 31346 47019 62692 94038 188076 508253 1016506 1524759 2033012 3049518 3557771 6099036 7115542 10673313 14231084 21346626 42693252