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42293124 = 2233794957
BaseRepresentation
bin1010000101010…
…1011110000100
32221120201021000
42201111132010
541311334444
64110253300
71022325366
oct241253604
987521230
1042293124
11219674a5
12121b7230
1389ba523
14588cd36
153aa6469
hex2855784

42293124 has 48 divisors (see below), whose sum is σ = 111059200. Its totient is φ = 13916448.

The previous prime is 42293117. The next prime is 42293129. The reversal of 42293124 is 42139224.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42293129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6054 + ... + 11010.

Almost surely, 242293124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42293124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55529600).

42293124 is an abundant number, since it is smaller than the sum of its proper divisors (68766076).

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

42293124 is a wasteful number, since it uses less digits than its factorization.

42293124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5041 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42293124 is about 6503.3163847379. The cubic root of 42293124 is about 348.4094467243.

The spelling of 42293124 in words is "forty-two million, two hundred ninety-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 4957 8532 9914 14871 19828 29742 44613 59484 89226 133839 178452 267678 391603 535356 783206 1174809 1566412 2349618 3524427 4699236 7048854 10573281 14097708 21146562 42293124