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2983992 = 2331189127
BaseRepresentation
bin1011011000100000111000
312121121021020
423120200320
51230441432
6143542440
734235454
oct13304070
95547236
102983992
111758a10
12bbaa20
1380629b
14579664
153de22c
hex2d8838

2983992 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 887040.

The previous prime is 2983987. The next prime is 2984039. The reversal of 2983992 is 2993892.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23433 + ... + 23559.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

22983992 is an apocalyptic number.

2983992 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 2983992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

2983992 is an abundant number, since it is smaller than the sum of its proper divisors (5310408).

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

2983992 is a wasteful number, since it uses less digits than its factorization.

2983992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

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

The square root of 2983992 is about 1727.4235149494. The cubic root of 2983992 is about 143.9679712717.

The spelling of 2983992 in words is "two million, nine hundred eighty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 127 132 178 254 264 267 356 381 508 534 712 762 979 1016 1068 1397 1524 1958 2136 2794 2937 3048 3916 4191 5588 5874 7832 8382 11176 11303 11748 16764 22606 23496 33528 33909 45212 67818 90424 124333 135636 248666 271272 372999 497332 745998 994664 1491996 2983992