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2890992 = 2431341113
BaseRepresentation
bin1011000001110011110000
312102212200210
423001303300
51220002432
6141544120
733400356
oct13016360
95385623
102890992
1116a5055
12b75040
137a2b60
145537d6
153c18cc
hex2c1cf0

2890992 has 80 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 860160.

The previous prime is 2890961. The next prime is 2890997. The reversal of 2890992 is 2990982.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2890992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25528 + ... + 25640.

22890992 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 2890992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2890992 is an abundant number, since it is smaller than the sum of its proper divisors (5420976).

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

2890992 is a wasteful number, since it uses less digits than its factorization.

2890992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2890992 is about 1700.2917396729. The cubic root of 2890992 is about 142.4565087345.

The spelling of 2890992 in words is "two million, eight hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 113 123 156 164 208 226 246 312 328 339 452 492 533 624 656 678 904 984 1066 1356 1469 1599 1808 1968 2132 2712 2938 3198 4264 4407 4633 5424 5876 6396 8528 8814 9266 11752 12792 13899 17628 18532 23504 25584 27798 35256 37064 55596 60229 70512 74128 111192 120458 180687 222384 240916 361374 481832 722748 963664 1445496 2890992