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2487296106 = 233611077057
BaseRepresentation
bin1001010001000001…
…0010000001101010
320102100021201211000
42110100102001222
520043221433411
61050451215430
7115431445101
oct22420220152
96370251730
102487296106
111067017419
12594ba7576
13308401c59
141984a5038
15e856b956
hex9441206a

2487296106 has 64 divisors (see below), whose sum is σ = 5671244160. Its totient is φ = 807770880.

The previous prime is 2487296101. The next prime is 2487296117. The reversal of 2487296106 is 6016927842.

It is a happy number.

2487296106 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 29 + 610 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2487296101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348930 + ... + 355986.

It is an arithmetic number, because the mean of its divisors is an integer number (88613190).

Almost surely, 22487296106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2487296106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835622080).

2487296106 is an abundant number, since it is smaller than the sum of its proper divisors (3183948054).

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

2487296106 is a wasteful number, since it uses less digits than its factorization.

2487296106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2487296106 is about 49872.7992597167. The cubic root of 2487296106 is about 1354.9059916715.

The spelling of 2487296106 in words is "two billion, four hundred eighty-seven million, two hundred ninety-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 107 122 183 214 321 366 549 642 963 1098 1647 1926 2889 3294 5778 6527 7057 13054 14114 19581 21171 39162 42342 58743 63513 117486 127026 176229 190539 352458 381078 430477 755099 860954 1291431 1510198 2265297 2582862 3874293 4530594 6795891 7748586 11622879 13591782 20387673 23245758 40775346 46061039 92122078 138183117 276366234 414549351 829098702 1243648053 2487296106