Search a number
-
+
42193062 = 23643673
BaseRepresentation
bin1010000011110…
…1000010100110
32221101122000000
42200331002212
541300134222
64104202130
71021430562
oct240750246
987348000
1042193062
11218a92aa
1212169346
138983b12
1458646a2
153a869ac
hex283d0a6

42193062 has 56 divisors (see below), whose sum is σ = 97242024. Its totient is φ = 13716864.

The previous prime is 42193043. The next prime is 42193087. The reversal of 42193062 is 26039124.

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

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 62358 + ... + 63030.

Almost surely, 242193062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42193062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48621012).

42193062 is an abundant number, since it is smaller than the sum of its proper divisors (55048962).

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

42193062 is an equidigital number, since it uses as much as digits as its factorization.

42193062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42193062 is about 6495.6186772316. The cubic root of 42193062 is about 348.1344605255.

The spelling of 42193062 in words is "forty-two million, one hundred ninety-three thousand, sixty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 673 729 774 1161 1346 1458 2019 2322 3483 4038 6057 6966 10449 12114 18171 20898 28939 31347 36342 54513 57878 62694 86817 109026 163539 173634 260451 327078 490617 520902 781353 981234 1562706 2344059 4688118 7032177 14064354 21096531 42193062