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2993856 = 26331503
BaseRepresentation
bin1011011010111011000000
312122002210120
423122323000
51231300411
6144100240
734306305
oct13327300
95562716
102993856
111765368
121004680
1380a918
1457d0ac
153e2106
hex2daec0

2993856 has 56 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 963840.

The previous prime is 2993839. The next prime is 2993867. The reversal of 2993856 is 6583992.

2993856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5701 + ... + 6203.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

22993856 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 2993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

2993856 is an abundant number, since it is smaller than the sum of its proper divisors (5199168).

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

2993856 is a wasteful number, since it uses less digits than its factorization.

2993856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 2993856 is about 1730.2762785174. The cubic root of 2993856 is about 144.1264321698.

The spelling of 2993856 in words is "two million, nine hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 503 744 992 1006 1488 1509 1984 2012 2976 3018 4024 5952 6036 8048 12072 15593 16096 24144 31186 32192 46779 48288 62372 93558 96576 124744 187116 249488 374232 498976 748464 997952 1496928 2993856