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2487200196 = 22313295031093
BaseRepresentation
bin1001010000111111…
…1010100111000100
320102100002212020210
42110033322213010
520043210401241
61050445155420
7115430565345
oct22417724704
96370085223
102487200196
111066a61358
12594b5bb70
1330839a3c0
1419847c0cc
15e854d316
hex943fa9c4

2487200196 has 96 divisors (see below), whose sum is σ = 6484181760. Its totient is φ = 736759296.

The previous prime is 2487200189. The next prime is 2487200201. The reversal of 2487200196 is 6910027842.

2487200196 is digitally balanced in base 2 and base 4, because in such bases 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275026 + ... + 2276118.

It is an arithmetic number, because the mean of its divisors is an integer number (67543560).

Almost surely, 22487200196 is an apocalyptic number.

2487200196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2487200196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242090880).

2487200196 is an abundant number, since it is smaller than the sum of its proper divisors (3996981564).

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

2487200196 is a wasteful number, since it uses less digits than its factorization.

2487200196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2487200196 is about 49871.8377042595. The cubic root of 2487200196 is about 1354.8885764144. Note that the first 3 decimals are identical.

The spelling of 2487200196 in words is "two billion, four hundred eighty-seven million, two hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 503 754 1006 1093 1131 1508 1509 2012 2186 2262 3018 3279 4372 4524 6036 6539 6558 13078 13116 14209 14587 19617 26156 28418 29174 31697 39234 42627 43761 56836 58348 63394 78468 85254 87522 95091 126788 170508 175044 189631 190182 379262 380364 412061 549779 568893 758524 824122 1099558 1137786 1236183 1648244 1649337 2199116 2275572 2472366 3298674 4944732 6597348 7147127 14294254 15943591 21441381 28588508 31887182 42882762 47830773 63774364 85765524 95661546 191323092 207266683 414533366 621800049 829066732 1243600098 2487200196