Search a number
-
+
42416748 = 223211434753
BaseRepresentation
bin1010000111001…
…1101001101100
32221210222211200
42201303221230
541324313443
64113045500
71023351663
oct241635154
987728750
1042416748
1121a41370
1212256890
138a3188a
1458c1dda
153accdd3
hex2873a6c

42416748 has 144 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 12055680.

The previous prime is 42416747. The next prime is 42416753. The reversal of 42416748 is 84761424.

42416748 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 (36).

It is not an unprimeable number, because it can be changed into a prime (42416743) 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, 800290 + ... + 800342.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 242416748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42416748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

42416748 is an abundant number, since it is smaller than the sum of its proper divisors (82123668).

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

42416748 is a wasteful number, since it uses less digits than its factorization.

42416748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42416748 is about 6512.8141382969. The cubic root of 42416748 is about 348.7485867288.

The spelling of 42416748 in words is "forty-two million, four hundred sixteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 47 53 66 86 94 99 106 129 132 141 159 172 188 198 212 258 282 318 387 396 423 473 477 516 517 564 583 636 774 846 946 954 1034 1166 1419 1548 1551 1692 1749 1892 1908 2021 2068 2279 2332 2491 2838 3102 3498 4042 4257 4558 4653 4982 5247 5676 6063 6204 6837 6996 7473 8084 8514 9116 9306 9964 10494 12126 13674 14946 17028 18189 18612 20511 20988 22231 22419 24252 25069 27348 27401 29892 36378 41022 44462 44838 50138 54802 66693 72756 75207 82044 82203 88924 89676 100276 107113 109604 133386 150414 164406 200079 214226 225621 246609 266772 300828 321339 328812 400158 428452 451242 493218 642678 800316 902484 964017 986436 1178243 1285356 1928034 2356486 3534729 3856068 4712972 7069458 10604187 14138916 21208374 42416748