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2993892 = 2231137613
BaseRepresentation
bin1011011010111011100100
312122002211220
423122323210
51231301032
6144100340
734306356
oct13327344
95562756
102993892
1117653a0
1210046b0
1380a945
1457d0d6
153e212c
hex2daee4

2993892 has 48 divisors (see below), whose sum is σ = 7839552. Its totient is φ = 881280.

The previous prime is 2993891. The next prime is 2993897. The reversal of 2993892 is 2983992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993891) 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, 4578 + ... + 5190.

It is an arithmetic number, because the mean of its divisors is an integer number (163324).

22993892 is an apocalyptic number.

2993892 is a gapful number since it is divisible by the number (22) 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 2993892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919776).

2993892 is an abundant number, since it is smaller than the sum of its proper divisors (4845660).

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

2993892 is a wasteful number, since it uses less digits than its factorization.

2993892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 2993892 is about 1730.2866814491. The cubic root of 2993892 is about 144.1270098563.

The spelling of 2993892 in words is "two million, nine hundred ninety-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 613 814 1221 1226 1628 1839 2442 2452 3678 4884 6743 7356 13486 20229 22681 26972 40458 45362 68043 80916 90724 136086 249491 272172 498982 748473 997964 1496946 2993892