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2993868 = 2233191459
BaseRepresentation
bin1011011010111011001100
312122002211000
423122323030
51231300433
6144100300
734306323
oct13327314
95562730
102993868
111765379
121004690
1380a927
1457d0ba
153e2113
hex2daecc

2993868 has 48 divisors (see below), whose sum is σ = 8176000. Its totient is φ = 944784.

The previous prime is 2993867. The next prime is 2993869. The reversal of 2993868 is 8683992.

It is an interprime number because it is at equal distance from previous prime (2993867) and next prime (2993869).

It is not an unprimeable number, because it can be changed into a prime (2993867) by changing a digit.

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, 1323 + ... + 2781.

22993868 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 2993868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088000).

2993868 is an abundant number, since it is smaller than the sum of its proper divisors (5182132).

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

2993868 is a wasteful number, since it uses less digits than its factorization.

2993868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2993868 is about 1730.2797461682. The cubic root of 2993868 is about 144.1266247325.

The spelling of 2993868 in words is "two million, nine hundred ninety-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1459 2052 2918 4377 5836 8754 13131 17508 26262 27721 39393 52524 55442 78786 83163 110884 157572 166326 249489 332652 498978 748467 997956 1496934 2993868