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42588196 = 22717219277
BaseRepresentation
bin1010001001110…
…1100000100100
32222010201000121
42202131200210
541400310241
64120451324
71024664560
oct242354044
988121017
1042588196
1122049162
1212319b44
138a91921
1459286a0
153b13ad1
hex289d824

42588196 has 72 divisors (see below), whose sum is σ = 95587520. Its totient is φ = 16215552.

The previous prime is 42588181. The next prime is 42588197. The reversal of 42588196 is 69188524.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42588197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153610 + ... + 153886.

Almost surely, 242588196 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 42588196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47793760).

42588196 is an abundant number, since it is smaller than the sum of its proper divisors (52999324).

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

42588196 is a wasteful number, since it uses less digits than its factorization.

42588196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 42588196 is about 6525.9632239233. The cubic root of 42588196 is about 349.2178343025.

The spelling of 42588196 in words is "forty-two million, five hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 277 289 323 476 532 554 578 646 1108 1156 1292 1939 2023 2261 3878 4046 4522 4709 5263 5491 7756 8092 9044 9418 10526 10982 18836 21052 21964 32963 36841 38437 65926 73682 76874 80053 89471 131852 147364 153748 160106 178942 320212 357884 560371 626297 1120742 1252594 1521007 2241484 2505188 3042014 6084028 10647049 21294098 42588196