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42593240 = 2352367691
BaseRepresentation
bin1010001001111…
…0101111011000
32222010221221102
42202132233120
541400440430
64120530532
71025015354
oct242365730
988127842
1042593240
1122051a28
1212320a48
138a94001
14592a464
153b15345
hex289ebd8

42593240 has 64 divisors (see below), whose sum is σ = 101640960. Its totient is φ = 16030080.

The previous prime is 42593207. The next prime is 42593251. The reversal of 42593240 is 4239524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61295 + ... + 61985.

It is an arithmetic number, because the mean of its divisors is an integer number (1588140).

Almost surely, 242593240 is an apocalyptic number.

42593240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42593240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50820480).

42593240 is an abundant number, since it is smaller than the sum of its proper divisors (59047720).

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

42593240 is a wasteful number, since it uses less digits than its factorization.

42593240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 42593240 is about 6526.3496688425. The cubic root of 42593240 is about 349.2316204795.

The spelling of 42593240 in words is "forty-two million, five hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 115 134 184 230 268 335 460 536 670 691 920 1340 1382 1541 2680 2764 3082 3455 5528 6164 6910 7705 12328 13820 15410 15893 27640 30820 31786 46297 61640 63572 79465 92594 127144 158930 185188 231485 317860 370376 462970 635720 925940 1064831 1851880 2129662 4259324 5324155 8518648 10648310 21296620 42593240