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42159048 = 23317191541
BaseRepresentation
bin1010000011010…
…0101111001000
32221022220100020
42200310233020
541243042143
64103340440
71021226451
oct240645710
987286306
1042159048
1121885798
1212151720
1389714a9
145856128
153a7b883
hex2834bc8

42159048 has 64 divisors (see below), whose sum is σ = 112389120. Its totient is φ = 13132800.

The previous prime is 42159001. The next prime is 42159059. The reversal of 42159048 is 84095124.

It is a Cunningham number, because it is equal to 64932-1.

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 15 ways as a sum of consecutive naturals, for example, 77658 + ... + 78198.

It is an arithmetic number, because the mean of its divisors is an integer number (1756080).

Almost surely, 242159048 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 42159048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56194560).

42159048 is an abundant number, since it is smaller than the sum of its proper divisors (70230072).

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

42159048 is a wasteful number, since it uses less digits than its factorization.

42159048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 42159048 is about 6492.9999229940. Note that the first 4 decimals coincide. The cubic root of 42159048 is about 348.0408856706.

The spelling of 42159048 in words is "forty-two million, one hundred fifty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 191 204 382 408 541 573 764 1082 1146 1528 1623 2164 2292 3246 3247 4328 4584 6492 6494 9197 9741 12984 12988 18394 19482 25976 27591 36788 38964 55182 73576 77928 103331 110364 206662 220728 309993 413324 619986 826648 1239972 1756627 2479944 3513254 5269881 7026508 10539762 14053016 21079524 42159048