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3059141148 = 2233724871187
BaseRepresentation
bin1011011001010110…
…1100101000011100
321220012022110202000
42312111230220130
522231120004043
61223320002300
7135544161600
oct26625545034
97805273660
103059141148
11132a895028
12714600390
13399a205bb
142103dd500
1512d8772d3
hexb656ca1c

3059141148 has 144 divisors (see below), whose sum is σ = 9252714240. Its totient is φ = 871510752.

The previous prime is 3059141147. The next prime is 3059141153. The reversal of 3059141148 is 8411419503.

3059141148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3059141147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2576611 + ... + 2577797.

It is an arithmetic number, because the mean of its divisors is an integer number (64254960).

Almost surely, 23059141148 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 3059141148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626357120).

3059141148 is an abundant number, since it is smaller than the sum of its proper divisors (6193573092).

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

3059141148 is a wasteful number, since it uses less digits than its factorization.

3059141148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3059141148 is about 55309.5032340736. The cubic root of 3059141148 is about 1451.6653316525.

The spelling of 3059141148 in words is "three billion, fifty-nine million, one hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 487 588 756 882 974 1187 1323 1461 1764 1948 2374 2646 2922 3409 3561 4383 4748 5292 5844 6818 7122 8309 8766 10227 10683 13149 13636 14244 16618 17532 20454 21366 23863 24927 26298 30681 32049 33236 40908 42732 47726 49854 52596 58163 61362 64098 71589 74781 92043 95452 99708 116326 122724 128196 143178 149562 174489 184086 214767 224343 232652 286356 299124 348978 368172 429534 448686 523467 578069 644301 697956 859068 897372 1046934 1156138 1288602 1570401 1734207 2093868 2312276 2577204 3140802 3468414 4046483 5202621 6281604 6936828 8092966 10405242 12139449 15607863 16185932 20810484 24278898 28325381 31215726 36418347 48557796 56650762 62431452 72836694 84976143 109255041 113301524 145673388 169952286 218510082 254928429 339904572 437020164 509856858 764785287 1019713716 1529570574 3059141148