Search a number
-
+
42191296 = 267412297
BaseRepresentation
bin1010000011110…
…0100111000000
32221101112120121
42200330213000
541300110141
64104150024
71021422460
oct240744700
987345517
1042191296
11218a7a44
1212168314
138983084
145863ba0
153a861d1
hex283c9c0

42191296 has 56 divisors (see below), whose sum is σ = 98060256. Its totient is φ = 17633280.

The previous prime is 42191291. The next prime is 42191309. The reversal of 42191296 is 69219124.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) 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 (42191291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17220 + ... + 19516.

It is an arithmetic number, because the mean of its divisors is an integer number (1751076).

Almost surely, 242191296 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 42191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49030128).

42191296 is an abundant number, since it is smaller than the sum of its proper divisors (55868960).

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

42191296 is a wasteful number, since it uses less digits than its factorization.

42191296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2347 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 42191296 is about 6495.4827380265. The cubic root of 42191296 is about 348.1296033759.

The spelling of 42191296 in words is "forty-two million, one hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2297 2624 4592 4594 9184 9188 16079 18368 18376 32158 36752 64316 73504 94177 128632 147008 188354 257264 376708 514528 659239 753416 1029056 1318478 1506832 2636956 3013664 5273912 6027328 10547824 21095648 42191296