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42496542 = 23311292467
BaseRepresentation
bin1010001000011…
…1001000011110
32221222001022000
42202013020132
541334342132
64114503130
71024133424
oct242071036
987861260
1042496542
1121a96310
1212294aa6
138a5bcaa
145903114
153ae687c
hex288721e

42496542 has 64 divisors (see below), whose sum is σ = 106617600. Its totient is φ = 12428640.

The previous prime is 42496537. The next prime is 42496543. The reversal of 42496542 is 24569424.

42496542 is a `hidden beast` number, since 4 + 24 + 96 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42496497 and 42496506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42496543) 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 31 ways as a sum of consecutive naturals, for example, 15993 + ... + 18459.

It is an arithmetic number, because the mean of its divisors is an integer number (1665900).

Almost surely, 242496542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42496542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53308800).

42496542 is an abundant number, since it is smaller than the sum of its proper divisors (64121058).

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

42496542 is a wasteful number, since it uses less digits than its factorization.

42496542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42496542 is about 6518.9371833145. The cubic root of 42496542 is about 348.9671372959.

The spelling of 42496542 in words is "forty-two million, four hundred ninety-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2467 2871 4934 5742 7401 8613 14802 17226 22203 27137 44406 54274 66609 71543 81411 133218 143086 162822 214629 244233 429258 488466 643887 732699 786973 1287774 1465398 1573946 1931661 2360919 3863322 4721838 7082757 14165514 21248271 42496542