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42824268 = 22333112791
BaseRepresentation
bin1010001101011…
…1001001001100
32222120200212000
42203113021030
541430334033
64125512300
71030000044
oct243271114
988520760
1042824268
112219a563
1212412690
138b45206
14598a724
153b5da13
hex28d724c

42824268 has 48 divisors (see below), whose sum is σ = 114616320. Its totient is φ = 13813200.

The previous prime is 42824263. The next prime is 42824279. The reversal of 42824268 is 86242824.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (42824263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3048 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (2387840).

Almost surely, 242824268 is an apocalyptic number.

It is an amenable number.

42824268 is an abundant number, since it is smaller than the sum of its proper divisors (71792052).

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

42824268 is a wasteful number, since it uses less digits than its factorization.

42824268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12827 counting only the distinct ones).

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

The square root of 42824268 is about 6544.0253666990. The cubic root of 42824268 is about 349.8618992578.

The spelling of 42824268 in words is "forty-two million, eight hundred twenty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 12791 25582 38373 51164 76746 115119 153492 230238 345357 396521 460476 690714 793042 1189563 1381428 1586084 2379126 3568689 4758252 7137378 10706067 14274756 21412134 42824268