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2892942 = 233132317
BaseRepresentation
bin1011000010010010001110
312102222101000
423002102032
51220033232
6142001130
733406143
oct13022216
95388330
102892942
1116a6568
12b761a6
137a3a00
145543ca
153c227c
hex2c248e

2892942 has 48 divisors (see below), whose sum is σ = 6983280. Its totient is φ = 887328.

The previous prime is 2892937. The next prime is 2892949. The reversal of 2892942 is 2492982.

It is a super-2 number, since 2×28929422 = 16738226830728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2892897 and 2892906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8968 + ... + 9284.

It is an arithmetic number, because the mean of its divisors is an integer number (145485).

22892942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2892942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491640).

2892942 is an abundant number, since it is smaller than the sum of its proper divisors (4090338).

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

2892942 is a wasteful number, since it uses less digits than its factorization.

2892942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

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

The square root of 2892942 is about 1700.8650740138. The cubic root of 2892942 is about 142.4885309329.

The spelling of 2892942 in words is "two million, eight hundred ninety-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 317 338 351 507 634 702 951 1014 1521 1902 2853 3042 4121 4563 5706 8242 8559 9126 12363 17118 24726 37089 53573 74178 107146 111267 160719 222534 321438 482157 964314 1446471 2892942