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2906859696 = 2431338312163
BaseRepresentation
bin1010110101000011…
…0010100010110000
321111120202202212020
42231100302202300
521423124002241
61200240031440
7132014620416
oct25520624260
97446682766
102906859696
111261934794
12691602580
13374303130
141d80bd2b6
151202e6b66
hexad4328b0

2906859696 has 80 divisors (see below), whose sum is σ = 8108814336. Its totient is φ = 892009728.

The previous prime is 2906859679. The next prime is 2906859707. The reversal of 2906859696 is 6969586092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232911 + ... + 245073.

Almost surely, 22906859696 is an apocalyptic number.

2906859696 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 2906859696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054407168).

2906859696 is an abundant number, since it is smaller than the sum of its proper divisors (5201954640).

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

2906859696 is a wasteful number, since it uses less digits than its factorization.

2906859696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The square root of 2906859696 is about 53915.3011305696. The cubic root of 2906859696 is about 1427.1666551419.

The spelling of 2906859696 in words is "two billion, nine hundred six million, eight hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 383 624 766 1149 1532 2298 3064 4596 4979 6128 9192 9958 12163 14937 18384 19916 24326 29874 36489 39832 48652 59748 72978 79664 97304 119496 145956 158119 194608 238992 291912 316238 474357 583824 632476 948714 1264952 1897428 2529904 3794856 4658429 7589712 9316858 13975287 18633716 27950574 37267432 55901148 60559577 74534864 111802296 121119154 181678731 223604592 242238308 363357462 484476616 726714924 968953232 1453429848 2906859696