Search a number
-
+
3166096048 = 241724148299
BaseRepresentation
bin1011110010110110…
…1100101010110000
322011122120100021121
42330231230222300
522441010033143
61242100232024
7141313241503
oct27455545260
98148510247
103166096048
1113851a6905
1274439b614
133b5c2a91b
142206c113a
15137e527ed
hexbcb6cab0

3166096048 has 40 divisors (see below), whose sum is σ = 6522238800. Its totient is φ = 1483714560.

The previous prime is 3166096039. The next prime is 3166096051. The reversal of 3166096048 is 8406906613.

It is a super-2 number, since 2×31660960482 = 20048328370322436608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3166095995 and 3166096013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41403 + ... + 89701.

It is an arithmetic number, because the mean of its divisors is an integer number (163055970).

Almost surely, 23166096048 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 3166096048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261119400).

3166096048 is an abundant number, since it is smaller than the sum of its proper divisors (3356142752).

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

3166096048 is a wasteful number, since it uses less digits than its factorization.

3166096048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48565 (or 48559 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 3166096048 is about 56268.0730787895. The cubic root of 3166096048 is about 1468.3898095406.

The spelling of 3166096048 in words is "three billion, one hundred sixty-six million, ninety-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 482 964 1928 3856 4097 8194 16388 32776 48299 65552 96598 193196 386392 772784 821083 1642166 3284332 6568664 11640059 13137328 23280118 46560236 93120472 186240944 197881003 395762006 791524012 1583048024 3166096048