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2992248 = 233371979
BaseRepresentation
bin1011011010100001111000
312122000121000
423122201320
51231222443
6144045000
734301520
oct13324170
95560530
102992248
111764136
121003760
13809c7c
1457c680
153e18d3
hex2da878

2992248 has 64 divisors (see below), whose sum is σ = 9504000. Its totient is φ = 854496.

The previous prime is 2992243. The next prime is 2992259. The reversal of 2992248 is 8422992.

2992248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 523 + ... + 2501.

It is an arithmetic number, because the mean of its divisors is an integer number (148500).

22992248 is an apocalyptic number.

2992248 is a gapful number since it is divisible by the number (28) 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 2992248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752000).

2992248 is an abundant number, since it is smaller than the sum of its proper divisors (6511752).

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

2992248 is a wasteful number, since it uses less digits than its factorization.

2992248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1991 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2992248 is about 1729.8115504297. The cubic root of 2992248 is about 144.1006241141.

It can be divided in two parts, 2992 and 248, that added together give a triangular number (3240 = T80).

The spelling of 2992248 in words is "two million, nine hundred ninety-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1979 3958 5937 7916 11874 13853 15832 17811 23748 27706 35622 41559 47496 53433 55412 71244 83118 106866 110824 124677 142488 166236 213732 249354 332472 374031 427464 498708 748062 997416 1496124 2992248