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42594580 = 22571967239
BaseRepresentation
bin1010001001111…
…1000100010100
32222011000210001
42202133010110
541401011310
64120541044
71025022310
oct242370424
988130701
1042594580
1122052a36
1212321784
138a947c2
14592ab40
153b1593a
hex289f114

42594580 has 96 divisors (see below), whose sum is σ = 109670400. Its totient is φ = 13571712.

The previous prime is 42594577. The next prime is 42594583. The reversal of 42594580 is 8549524.

It is an interprime number because it is at equal distance from previous prime (42594577) and next prime (42594583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42594583) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 178101 + ... + 178339.

It is an arithmetic number, because the mean of its divisors is an integer number (1142400).

Almost surely, 242594580 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 42594580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835200).

42594580 is an abundant number, since it is smaller than the sum of its proper divisors (67075820).

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

42594580 is a wasteful number, since it uses less digits than its factorization.

42594580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 42594580 is about 6526.4523287924. The cubic root of 42594580 is about 349.2352827622.

The spelling of 42594580 in words is "forty-two million, five hundred ninety-four thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 67 70 76 95 133 134 140 190 239 266 268 335 380 469 478 532 665 670 938 956 1195 1273 1330 1340 1673 1876 2345 2390 2546 2660 3346 4541 4690 4780 5092 6365 6692 8365 8911 9082 9380 12730 16013 16730 17822 18164 22705 25460 31787 32026 33460 35644 44555 45410 63574 64052 80065 89110 90820 112091 127148 158935 160130 178220 224182 304247 317870 320260 448364 560455 608494 635740 1120910 1216988 1521235 2129729 2241820 3042470 4259458 6084940 8518916 10648645 21297290 42594580