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2942892 = 223431293
BaseRepresentation
bin1011001110011110101100
312112111220000
423032132230
51223133032
6143024300
734004601
oct13163654
95474800
102942892
111730047
12b9b090
137c0674
145686a8
153d1e7c
hex2ce7ac

2942892 has 60 divisors (see below), whose sum is σ = 7968576. Its totient is φ = 946080.

The previous prime is 2942881. The next prime is 2942909. The reversal of 2942892 is 2982492.

It is a super-2 number, since 2×29428922 = 17321226647328, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9898 + ... + 10190.

22942892 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 2942892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984288).

2942892 is an abundant number, since it is smaller than the sum of its proper divisors (5025684).

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

2942892 is a wasteful number, since it uses less digits than its factorization.

2942892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

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

The square root of 2942892 is about 1715.4859369870. The cubic root of 2942892 is about 143.3039324349.

The spelling of 2942892 in words is "two million, nine hundred forty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 293 324 372 558 586 837 879 1116 1172 1674 1758 2511 2637 3348 3516 5022 5274 7911 9083 10044 10548 15822 18166 23733 27249 31644 36332 47466 54498 81747 94932 108996 163494 245241 326988 490482 735723 980964 1471446 2942892