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42100542 = 2321119331
BaseRepresentation
bin1010000010011…
…0011100111110
32221012221002100
42200212130332
541234204132
64102205530
71020564051
oct240463476
987187070
1042100542
1121845840
12121238a6
138950983
14583ca98
153a6937c
hex282673e

42100542 has 96 divisors (see below), whose sum is σ = 108426240. Its totient is φ = 11696400.

The previous prime is 42100519. The next prime is 42100543. The reversal of 42100542 is 24500124.

42100542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358067 + ... + 1358097.

It is an arithmetic number, because the mean of its divisors is an integer number (1129440).

Almost surely, 242100542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54213120).

42100542 is an abundant number, since it is smaller than the sum of its proper divisors (66325698).

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

42100542 is a wasteful number, since it uses less digits than its factorization.

42100542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42100542 is about 6488.4930453843. The cubic root of 42100542 is about 347.8798138279.

Adding to 42100542 its reverse (24500124), we get a palindrome (66600666).

The spelling of 42100542 in words is "forty-two million, one hundred thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 31 33 38 57 62 66 93 99 114 171 186 198 209 279 341 342 361 418 558 589 627 682 722 1023 1083 1178 1254 1767 1881 2046 2166 3069 3249 3534 3762 3971 5301 6138 6479 6498 6859 7942 10602 11191 11913 12958 13718 19437 20577 22382 23826 33573 35739 38874 41154 58311 61731 67146 71478 75449 100719 116622 123101 123462 150898 201438 212629 226347 246202 369303 425258 452694 637887 679041 738606 1107909 1275774 1358082 1913661 2215818 2338919 3827322 4677838 7016757 14033514 21050271 42100542