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42023655 = 3257911821
BaseRepresentation
bin1010000001001…
…1101011100111
32221002000121200
42200103223213
541224224110
64100413543
71020123642
oct240235347
987060550
1042023655
11217a2aa3
12120a72b3
13892498b
14581ca59
153a516c0
hex2813ae7

42023655 has 24 divisors (see below), whose sum is σ = 73769280. Its totient is φ = 22127040.

The previous prime is 42023633. The next prime is 42023659. The reversal of 42023655 is 55632024.

42023655 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 3 + 655 = 666.

42023655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42023655 - 212 = 42019559 is a prime.

It is a super-3 number, since 3×420236553 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356 + ... + 9465.

It is an arithmetic number, because the mean of its divisors is an integer number (3073720).

Almost surely, 242023655 is an apocalyptic number.

42023655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42023655 is a deficient number, since it is larger than the sum of its proper divisors (31745625).

42023655 is a wasteful number, since it uses less digits than its factorization.

42023655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42023655 is about 6482.5654643821. The cubic root of 42023655 is about 347.6679105031.

Adding to 42023655 its reverse (55632024), we get a palindrome (97655679).

The spelling of 42023655 in words is "forty-two million, twenty-three thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 45 79 237 395 711 1185 3555 11821 35463 59105 106389 177315 531945 933859 2801577 4669295 8404731 14007885 42023655