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42882329592 = 2332178924423
BaseRepresentation
bin100111111011111111…
…000110101111111000
311002200112200001101100
4213323333012233320
51200310334021332
631411101051400
73045443534034
oct477377065770
9132615601340
1042882329592
1117205a58a13
128389256b60
13407527732b
14210b3031c4
1511aea8567c
hex9fbfc6bf8

42882329592 has 144 divisors (see below), whose sum is σ = 124396730640. Its totient is φ = 13299111936.

The previous prime is 42882329579. The next prime is 42882329593. The reversal of 42882329592 is 29592328824.

It is a happy number.

42882329592 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 23 + 29 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42882329593) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9693093 + ... + 9697515.

It is an arithmetic number, because the mean of its divisors is an integer number (863866185).

Almost surely, 242882329592 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 42882329592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62198365320).

42882329592 is an abundant number, since it is smaller than the sum of its proper divisors (81514401048).

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

42882329592 is a wasteful number, since it uses less digits than its factorization.

42882329592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4534 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

It can be divided in two parts, 4288 and 2329592, that added together give a triangular number (2333880 = T2160).

The spelling of 42882329592 in words is "forty-two billion, eight hundred eighty-two million, three hundred twenty-nine thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 89 102 136 153 178 204 267 306 356 408 534 612 712 801 1068 1224 1513 1602 2136 3026 3204 4423 4539 6052 6408 7921 8846 9078 12104 13269 13617 15842 17692 18156 23763 26538 27234 31684 35384 36312 39807 47526 53076 54468 63368 71289 75191 79614 95052 106152 108936 134657 142578 150382 159228 190104 225573 269314 285156 300764 318456 393647 403971 451146 538628 570312 601528 676719 787294 807942 902292 1077256 1180941 1211913 1353438 1574588 1615884 1804584 2361882 2423826 2706876 3149176 3231768 3542823 4723764 4847652 5413752 6691999 7085646 9447528 9695304 13383998 14171292 20075997 26767996 28342584 35034583 40151994 53535992 60227991 70069166 80303988 105103749 120455982 140138332 160607976 210207498 240911964 280276664 315311247 420414996 481823928 595587911 630622494 840829992 1191175822 1261244988 1786763733 2382351644 2522489976 3573527466 4764703288 5360291199 7147054932 10720582398 14294109864 21441164796 42882329592