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42042858 = 231113192579
BaseRepresentation
bin1010000001100…
…0010111101010
32221002222221220
42200120113222
541230332413
64101042510
71020233634
oct240302752
987088856
1042042858
1121806470
12120b6436
138930640
145825a54
153a57223
hex28185ea

42042858 has 64 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 11136960.

The previous prime is 42042829. The next prime is 42042901. The reversal of 42042858 is 85824024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15013 + ... + 17591.

It is an arithmetic number, because the mean of its divisors is an integer number (1625400).

Almost surely, 242042858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

42042858 is an abundant number, since it is smaller than the sum of its proper divisors (61982742).

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

42042858 is a wasteful number, since it uses less digits than its factorization.

42042858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627.

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 42042858 is about 6484.0464217956. The cubic root of 42042858 is about 347.7208588582.

It can be divided in two parts, 42042 and 858, that multiplied together give a square (36072036 = 60062).

The spelling of 42042858 in words is "forty-two million, forty-two thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 627 741 858 1254 1482 2579 2717 5158 5434 7737 8151 15474 16302 28369 33527 49001 56738 67054 85107 98002 100581 147003 170214 201162 294006 368797 539011 637013 737594 1078022 1106391 1274026 1617033 1911039 2212782 3234066 3822078 7007143 14014286 21021429 42042858