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6028832430 = 235519130579
BaseRepresentation
bin1011001110101100…
…01010111010101110
3120120011022102100000
411213112022322232
544321340114210
62434122445130
7302254141635
oct54726127256
916504272300
106028832430
112614134045
1212030637a6
1375105248a
1441299651c
15254430ac0
hex16758aeae

6028832430 has 96 divisors (see below), whose sum is σ = 17111203200. Its totient is φ = 1523061792.

The previous prime is 6028832377. The next prime is 6028832437. The reversal of 6028832430 is 342388206.

6028832430 is a `hidden beast` number, since 602 + 8 + 8 + 3 + 2 + 43 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6028832437) by changing a digit.

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, 19120 + ... + 111459.

It is an arithmetic number, because the mean of its divisors is an integer number (178241700).

Almost surely, 26028832430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6028832430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555601600).

6028832430 is an abundant number, since it is smaller than the sum of its proper divisors (11082370770).

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

6028832430 is a wasteful number, since it uses less digits than its factorization.

6028832430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130620 (or 130608 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6028832430 is about 77645.5564085930. The cubic root of 6028832430 is about 1820.0266097224.

The spelling of 6028832430 in words is "six billion, twenty-eight million, eight hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 4617 5130 7695 9234 15390 23085 46170 130579 261158 391737 652895 783474 1175211 1305790 1958685 2350422 2481001 3525633 3917370 4962002 5876055 7051266 7443003 10576899 11752110 12405005 14886006 17628165 21153798 22329009 24810010 31730697 35256330 37215015 44658018 52884495 63461394 66987027 74430030 105768990 111645045 133974054 158653485 200961081 223290090 317306970 334935135 401922162 602883243 669870270 1004805405 1205766486 2009610810 3014416215 6028832430