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42023718 = 23311263269
BaseRepresentation
bin1010000001001…
…1101100100110
32221002000201000
42200103230212
541224224333
64100414130
71020124062
oct240235446
987060630
1042023718
11217a3050
12120a7346
138924a09
14581caa2
153a51713
hex2813b26

42023718 has 64 divisors (see below), whose sum is σ = 102643200. Its totient is φ = 12638880.

The previous prime is 42023669. The next prime is 42023741. The reversal of 42023718 is 81732024.

42023718 is a `hidden beast` number, since 420 + 237 + 1 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42023691 and 42023700.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 156088 + ... + 156356.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 242023718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42023718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321600).

42023718 is an abundant number, since it is smaller than the sum of its proper divisors (60619482).

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

42023718 is a wasteful number, since it uses less digits than its factorization.

42023718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42023718 is about 6482.5703235677. The cubic root of 42023718 is about 347.6680842392.

The spelling of 42023718 in words is "forty-two million, twenty-three thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 263 269 297 526 538 594 789 807 1578 1614 2367 2421 2893 2959 4734 4842 5786 5918 7101 7263 8679 8877 14202 14526 17358 17754 26037 26631 52074 53262 70747 78111 79893 141494 156222 159786 212241 424482 636723 778217 1273446 1556434 1910169 2334651 3820338 4669302 7003953 14007906 21011859 42023718