Search a number
-
+
42169896 = 2334591103
BaseRepresentation
bin1010000011011…
…1011000101000
32221100110020000
42200313120220
541243414041
64103503000
71021303206
oct240673050
987313200
1042169896
112189295a
1212157a60
138976402
14585a076
153a7ebb6
hex2837628

42169896 has 80 divisors (see below), whose sum is σ = 120225600. Its totient is φ = 13805856.

The previous prime is 42169859. The next prime is 42169931. The reversal of 42169896 is 69896124.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 37681 + ... + 38783.

It is an arithmetic number, because the mean of its divisors is an integer number (1502820).

Almost surely, 242169896 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 42169896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60112800).

42169896 is an abundant number, since it is smaller than the sum of its proper divisors (78055704).

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

42169896 is a wasteful number, since it uses less digits than its factorization.

42169896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1167 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 42169896 is about 6493.8352304320. The cubic root of 42169896 is about 348.0707347296.

The spelling of 42169896 in words is "forty-two million, one hundred sixty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1062 1103 1416 1593 2124 2206 3186 3309 4248 4412 4779 6372 6618 8824 9558 9927 12744 13236 19116 19854 26472 29781 38232 39708 59562 65077 79416 89343 119124 130154 178686 195231 238248 260308 357372 390462 520616 585693 714744 780924 1171386 1561848 1757079 2342772 3514158 4685544 5271237 7028316 10542474 14056632 21084948 42169896