Search a number
-
+
93782742 = 23435961101
BaseRepresentation
bin1011001011100…
…00001011010110
320112110122201220
411211300023112
5143002021432
613150031210
72216066034
oct545601326
9215418656
1093782742
1148a353a9
12274a8506
1316577961
14c653554
15837772c
hex59702d6

93782742 has 64 divisors (see below), whose sum is σ = 200344320. Its totient is φ = 29232000.

The previous prime is 93782737. The next prime is 93782743. The reversal of 93782742 is 24728739.

It is a junction number, because it is equal to n+sod(n) for n = 93782694 and 93782703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93782743) 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 31 ways as a sum of consecutive naturals, for example, 928492 + ... + 928592.

It is an arithmetic number, because the mean of its divisors is an integer number (3130380).

Almost surely, 293782742 is an apocalyptic number.

93782742 is an abundant number, since it is smaller than the sum of its proper divisors (106561578).

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

93782742 is a wasteful number, since it uses less digits than its factorization.

93782742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its digits is 169344, while the sum is 42.

The square root of 93782742 is about 9684.1490075277. The cubic root of 93782742 is about 454.3330275302. Note that the first 3 decimals are identical.

The spelling of 93782742 in words is "ninety-three million, seven hundred eighty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 43 59 61 86 101 118 122 129 177 183 202 258 303 354 366 606 2537 2623 3599 4343 5074 5246 5959 6161 7198 7611 7869 8686 10797 11918 12322 13029 15222 15738 17877 18483 21594 26058 35754 36966 154757 256237 264923 309514 363499 464271 512474 529846 726998 768711 794769 928542 1090497 1537422 1589538 2180994 15630457 31260914 46891371 93782742