Search a number
-
+
42159576 = 23337197241
BaseRepresentation
bin1010000011010…
…0110111011000
32221022221001210
42200310313120
541243101301
64103343120
71021231134
oct240646730
987287053
1042159576
1121886128
1212151aa0
1389717c4
1458563c4
153a7bad6
hex2834dd8

42159576 has 64 divisors (see below), whose sum is σ = 109248480. Its totient is φ = 13547520.

The previous prime is 42159569. The next prime is 42159577. The reversal of 42159576 is 67595124.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42159577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174816 + ... + 175056.

Almost surely, 242159576 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 42159576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54624240).

42159576 is an abundant number, since it is smaller than the sum of its proper divisors (67088904).

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

42159576 is a wasteful number, since it uses less digits than its factorization.

42159576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 42159576 is about 6493.0405820386. The cubic root of 42159576 is about 348.0423386194.

The spelling of 42159576 in words is "forty-two million, one hundred fifty-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 197 222 241 296 394 444 482 591 723 788 888 964 1182 1446 1576 1928 2364 2892 4728 5784 7289 8917 14578 17834 21867 26751 29156 35668 43734 47477 53502 58312 71336 87468 94954 107004 142431 174936 189908 214008 284862 379816 569724 1139448 1756649 3513298 5269947 7026596 10539894 14053192 21079788 42159576