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42593796 = 22337103547
BaseRepresentation
bin1010001001111…
…0111000000100
32222010222201000
42202132320010
541401000141
64120533300
71025020110
oct242367004
988128630
1042593796
1122052393
1212321230
138a9433b
14592a740
153b155b6
hex289ee04

42593796 has 96 divisors (see below), whose sum is σ = 127662080. Its totient is φ = 12029472.

The previous prime is 42593791. The next prime is 42593807. The reversal of 42593796 is 69739524.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42593791) 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, 77595 + ... + 78141.

Almost surely, 242593796 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 42593796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63831040).

42593796 is an abundant number, since it is smaller than the sum of its proper divisors (85068284).

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

42593796 is a wasteful number, since it uses less digits than its factorization.

42593796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 42593796 is about 6526.3922652565. The cubic root of 42593796 is about 349.2331400629.

The spelling of 42593796 in words is "forty-two million, five hundred ninety-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 547 618 721 756 927 1094 1236 1442 1641 1854 2163 2188 2781 2884 3282 3708 3829 4326 4923 5562 6489 6564 7658 8652 9846 11124 11487 12978 14769 15316 19467 19692 22974 25956 29538 34461 38934 45948 56341 59076 68922 77868 103383 112682 137844 169023 206766 225364 338046 394387 413532 507069 676092 788774 1014138 1183161 1521207 1577548 2028276 2366322 3042414 3549483 4732644 6084828 7098966 10648449 14197932 21296898 42593796