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2842950 = 2352111723
BaseRepresentation
bin1010110110000101000110
312100102210110
422312011012
51211433300
6140533450
733110325
oct12660506
95312713
102842950
111671a50
12b51286
13787026
145400bc
153b2550
hex2b6146

2842950 has 48 divisors (see below), whose sum is σ = 7695936. Its totient is φ = 688800.

The previous prime is 2842949. The next prime is 2842963. The reversal of 2842950 is 592482.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789 + ... + 2511.

It is an arithmetic number, because the mean of its divisors is an integer number (160332).

22842950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847968).

2842950 is an abundant number, since it is smaller than the sum of its proper divisors (4852986).

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

2842950 is a wasteful number, since it uses less digits than its factorization.

2842950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2842950 is about 1686.1049789381. The cubic root of 2842950 is about 141.6629910619.

Subtracting from 2842950 its sum of digits (30), we obtain a triangular number (2842920 = T2384).

The spelling of 2842950 in words is "two million, eight hundred forty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 1723 3446 5169 8615 10338 17230 18953 25845 37906 43075 51690 56859 86150 94765 113718 129225 189530 258450 284295 473825 568590 947650 1421475 2842950