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42385005 = 3351324151
BaseRepresentation
bin1010000110101…
…1111001101101
32221202101022000
42201223321231
541322310010
64112242513
71023160305
oct241537155
987671260
1042385005
1121a1a533
1212240439
138a202b0
1458b4605
153ac37c0
hex286be6d

42385005 has 32 divisors (see below), whose sum is σ = 81150720. Its totient is φ = 20865600.

The previous prime is 42384983. The next prime is 42385027. The reversal of 42385005 is 50058324.

It is an interprime number because it is at equal distance from previous prime (42384983) and next prime (42385027).

It is not a de Polignac number, because 42385005 - 29 = 42384493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42385005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10321 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (2535960).

Almost surely, 242385005 is an apocalyptic number.

42385005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42385005 is a deficient number, since it is larger than the sum of its proper divisors (38765715).

42385005 is a wasteful number, since it uses less digits than its factorization.

42385005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24178 (or 24172 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42385005 is about 6510.3767172108. The cubic root of 42385005 is about 348.6615685140.

The spelling of 42385005 in words is "forty-two million, three hundred eighty-five thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 24151 72453 120755 217359 313963 362265 652077 941889 1086795 1569815 2825667 3260385 4709445 8477001 14128335 42385005