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4281254628 = 2237314734981
BaseRepresentation
bin1111111100101110…
…1100001011100100
3102001100221021021020
43333023230023210
532232000122003
61544454051140
7211044030630
oct37713541344
912040837236
104281254628
1118a7724a72
129b5949ab0
13532c88181
142c8847dc0
151a0cced53
hexff2ec2e4

4281254628 has 96 divisors (see below), whose sum is σ = 12036046848. Its totient is φ = 1158537600.

The previous prime is 4281254611. The next prime is 4281254657. The reversal of 4281254628 is 8264521824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4281254628.

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 31 ways as a sum of consecutive naturals, for example, 104898 + ... + 139878.

It is an arithmetic number, because the mean of its divisors is an integer number (125375488).

Almost surely, 24281254628 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 4281254628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018023424).

4281254628 is an abundant number, since it is smaller than the sum of its proper divisors (7754792220).

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

4281254628 is a wasteful number, since it uses less digits than its factorization.

4281254628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35073 (or 35071 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 4281254628 is about 65431.2970068606. The cubic root of 4281254628 is about 1623.7669071210.

The spelling of 4281254628 in words is "four billion, two hundred eighty-one million, two hundred fifty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1302 1316 1457 1974 2604 2914 3948 4371 5828 8742 10199 17484 20398 30597 34981 40796 61194 69962 104943 122388 139924 209886 244867 419772 489734 734601 979468 1084411 1469202 1644107 2168822 2938404 3253233 3288214 4337644 4932321 6506466 6576428 7590877 9864642 11508749 13012932 15181754 19729284 22772631 23017498 30363508 34526247 45545262 46034996 50967317 69052494 91090524 101934634 138104988 152901951 203869268 305803902 356771219 611607804 713542438 1070313657 1427084876 2140627314 4281254628