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42852147282 = 2337317136093
BaseRepresentation
bin100111111010001011…
…111110000001010010
311002121102212122001000
4213322023332001102
51200230122203112
631404102122430
73044626146000
oct477213760122
9132542778030
1042852147282
111719aa1355a
12837b120416
13406bc3a389
1421072c7a70
1511ac0c27dc
hex9fa2fe052

42852147282 has 128 divisors (see below), whose sum is σ = 117585216000. Its totient is φ = 11523181824.

The previous prime is 42852147271. The next prime is 42852147313. The reversal of 42852147282 is 28274125824.

42852147282 is a `hidden beast` number, since 4 + 2 + 8 + 521 + 47 + 2 + 82 = 666.

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 63 ways as a sum of consecutive naturals, for example, 246828 + ... + 382920.

It is an arithmetic number, because the mean of its divisors is an integer number (918634500).

Almost surely, 242852147282 is an apocalyptic number.

42852147282 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42852147282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58792608000).

42852147282 is an abundant number, since it is smaller than the sum of its proper divisors (74733068718).

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

42852147282 is a wasteful number, since it uses less digits than its factorization.

42852147282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136142 (or 136122 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The spelling of 42852147282 in words is "forty-two billion, eight hundred fifty-two million, one hundred forty-seven thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 343 357 378 441 459 686 714 833 882 918 1029 1071 1323 1666 2058 2142 2499 2646 3087 3213 4998 5831 6174 6426 7497 9261 11662 14994 17493 18522 22491 34986 44982 52479 104958 136093 157437 272186 314874 408279 816558 952651 1224837 1905302 2313581 2449674 2857953 3674511 4627162 5715906 6668557 6940743 7349022 8573859 13337114 13881486 16195067 17147718 20005671 20822229 25721577 32390134 40011342 41644458 46679899 48585201 51443154 60017013 62466687 93359798 97170402 113365469 120034026 124933374 140039697 145755603 180051039 226730938 280079394 291511206 340096407 360102078 420119091 437266809 680192814 793558283 840238182 874533618 1020289221 1260357273 1587116566 2040578442 2380674849 2520714546 3060867663 4761349698 6121735326 7142024547 14284049094 21426073641 42852147282