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42590996 = 227337839
BaseRepresentation
bin1010001001111…
…0001100010100
32222010211212022
42202132030110
541400402441
64120512312
71025006000
oct242361424
988124768
1042590996
1122050278
121231b698
138a92c96
145929700
153b1484b
hex289e314

42590996 has 48 divisors (see below), whose sum is σ = 89376000. Its totient is φ = 17738784.

The previous prime is 42590981. The next prime is 42591011. The reversal of 42590996 is 69909524.

It is an interprime number because it is at equal distance from previous prime (42590981) and next prime (42591011).

It is a congruent number.

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, 50345 + ... + 51183.

It is an arithmetic number, because the mean of its divisors is an integer number (1862000).

Almost surely, 242590996 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 42590996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44688000).

42590996 is an abundant number, since it is smaller than the sum of its proper divisors (46785004).

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

42590996 is a wasteful number, since it uses less digits than its factorization.

42590996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 42590996 is about 6526.1777481157. The cubic root of 42590996 is about 349.2254873504.

The spelling of 42590996 in words is "forty-two million, five hundred ninety thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 343 518 686 839 1036 1372 1678 1813 3356 3626 5873 7252 11746 12691 23492 25382 31043 41111 50764 62086 82222 124172 164444 217301 287777 434602 575554 869204 1151108 1521107 3042214 6084428 10647749 21295498 42590996