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42024258 = 2341491741
BaseRepresentation
bin1010000001001…
…1110101000010
32221002001110000
42200103311002
541224234013
64100420430
71020125463
oct240236502
987061400
1042024258
11217a34a1
12120a7716
138925033
14581cd6a
153a51973
hex2813d42

42024258 has 40 divisors (see below), whose sum is σ = 94851900. Its totient is φ = 13906080.

The previous prime is 42024253. The next prime is 42024259. The reversal of 42024258 is 85242024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28869129 + 13155129 = 5373^2 + 3627^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42024253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23268 + ... + 25008.

Almost surely, 242024258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42024258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47425950).

42024258 is an abundant number, since it is smaller than the sum of its proper divisors (52827642).

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

42024258 is a wasteful number, since it uses less digits than its factorization.

42024258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42024258 is about 6482.6119735798. The cubic root of 42024258 is about 347.6695733979.

The spelling of 42024258 in words is "forty-two million, twenty-four thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 1741 2682 3482 4023 5223 8046 10446 12069 15669 24138 31338 47007 94014 141021 259409 282042 518818 778227 1556454 2334681 4669362 7004043 14008086 21012129 42024258