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42592289432 = 2371128537369
BaseRepresentation
bin100111101010101100…
…101100001010011000
311001221022220111002012
4213222230230022120
51144212111230212
631322220325052
73035322325640
oct475254541230
9131838814065
1042592289432
1117077267500
1283080a3788
13402a155a34
1420c09a3520
151194392922
hex9eab2c298

42592289432 has 96 divisors (see below), whose sum is σ = 100451920800. Its totient is φ = 16572695040.

The previous prime is 42592289423. The next prime is 42592289461. The reversal of 42592289432 is 23498229524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5776244 + ... + 5783612.

It is an arithmetic number, because the mean of its divisors is an integer number (1046374175).

Almost surely, 242592289432 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 42592289432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50225960400).

42592289432 is an abundant number, since it is smaller than the sum of its proper divisors (57859631368).

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

42592289432 is a wasteful number, since it uses less digits than its factorization.

42592289432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8242 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The spelling of 42592289432 in words is "forty-two billion, five hundred ninety-two million, two hundred eighty-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 853 968 1694 1706 3388 3412 5971 6776 6824 7369 9383 11942 14738 18766 23884 29476 37532 47768 51583 58952 65681 75064 81059 103166 103213 131362 162118 206332 206426 262724 324236 412664 412852 525448 567413 648472 722491 825704 891649 1134826 1444982 1783298 2269652 2889964 3566596 4539304 5779928 6241543 6285757 7133192 12483086 12571514 24966172 25143028 44000299 49932344 50286056 69143327 88000598 138286654 176001196 276573308 352002392 484003289 553146616 760576597 968006578 1521153194 1936013156 3042306388 3872026312 5324036179 6084612776 10648072358 21296144716 42592289432