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42881000526 = 232713250310459
BaseRepresentation
bin100111111011111010…
…000010010001001110
311002200110011112020200
4213323322002101032
51200310014004101
631411012354330
73045426330150
oct477372022116
9132613145220
1042881000526
1117205230411
1283889159a6
134074c003c0
14210b078ad0
1511ae8c1986
hex9fbe8244e

42881000526 has 96 divisors (see below), whose sum is σ = 114405957120. Its totient is φ = 11303675712.

The previous prime is 42881000509. The next prime is 42881000531. The reversal of 42881000526 is 62500018824.

42881000526 is a `hidden beast` number, since 4 + 28 + 8 + 100 + 0 + 526 = 666.

42881000526 is a nontrivial binomial coefficient, being equal to C(292852, 2).

It is a super-2 number, since 2×428810005262 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4094685 + ... + 4105143.

It is an arithmetic number, because the mean of its divisors is an integer number (1191728720).

Almost surely, 242881000526 is an apocalyptic number.

42881000526 is the 292851-st triangular number and also the 146426-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42881000526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57202978560).

42881000526 is an abundant number, since it is smaller than the sum of its proper divisors (71524956594).

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

42881000526 is a wasteful number, since it uses less digits than its factorization.

42881000526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12990 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 42881000526 in words is "forty-two billion, eight hundred eighty-one million, five hundred twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 2503 5006 7509 10459 15018 17521 20918 22527 31377 32539 35042 45054 52563 62754 65078 73213 94131 97617 105126 135967 146426 157689 188262 195234 219639 227773 271934 292851 315378 407901 439278 455546 585702 658917 683319 815802 951769 1223703 1317834 1366638 1903538 2049957 2447406 2855307 4099914 5710614 8565921 17131842 26178877 52357754 78536631 157073262 183252139 235609893 340325401 366504278 471219786 549756417 680650802 1020976203 1099512834 1649269251 2041952406 2382277807 3062928609 3298538502 4764555614 6125857218 7146833421 14293666842 21440500263 42881000526