Search a number
-
+
42268428 = 22322940487
BaseRepresentation
bin1010000100111…
…1011100001100
32221112110101100
42201033130030
541310042203
64105543100
71022163366
oct241173414
987473340
1042268428
112194a994
12121a4a90
1389ac207
145883d36
153a9dea3
hex284f70c

42268428 has 36 divisors (see below), whose sum is σ = 110532240. Its totient is φ = 13603296.

The previous prime is 42268427. The next prime is 42268433. The reversal of 42268428 is 82486224.

It is a happy number.

42268428 is a `hidden beast` number, since 4 + 226 + 8 + 428 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42268392 and 42268401.

It is not an unprimeable number, because it can be changed into a prime (42268427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19200 + ... + 21287.

It is an arithmetic number, because the mean of its divisors is an integer number (3070340).

Almost surely, 242268428 is an apocalyptic number.

It is an amenable number.

42268428 is an abundant number, since it is smaller than the sum of its proper divisors (68263812).

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

42268428 is a wasteful number, since it uses less digits than its factorization.

42268428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40526 (or 40521 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42268428 is about 6501.4173839248. The cubic root of 42268428 is about 348.3416185591.

The spelling of 42268428 in words is "forty-two million, two hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 40487 80974 121461 161948 242922 364383 485844 728766 1174123 1457532 2348246 3522369 4696492 7044738 10567107 14089476 21134214 42268428