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2792988 = 2233112351
BaseRepresentation
bin1010101001111000011100
312020220021000
422221320130
51203333423
6135510300
732511552
oct12517034
95226230
102792988
111638460
12b28390
1376a373
14529bd2
153a2843
hex2a9e1c

2792988 has 48 divisors (see below), whose sum is σ = 7902720. Its totient is φ = 846000.

The previous prime is 2792987. The next prime is 2792989. The reversal of 2792988 is 8892972.

2792988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2792987) and next prime (2792989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792987) 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, 13 + ... + 2363.

It is an arithmetic number, because the mean of its divisors is an integer number (164640).

22792988 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 2792988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951360).

2792988 is an abundant number, since it is smaller than the sum of its proper divisors (5109732).

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

2792988 is a wasteful number, since it uses less digits than its factorization.

2792988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2367 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2792988 is about 1671.2235039037. The cubic root of 2792988 is about 140.8282199591.

The spelling of 2792988 in words is "two million, seven hundred ninety-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2351 4702 7053 9404 14106 21159 25861 28212 42318 51722 63477 77583 84636 103444 126954 155166 232749 253908 310332 465498 698247 930996 1396494 2792988