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2992116 = 2232337293
BaseRepresentation
bin1011011010011111110100
312122000102010
423122133310
51231221431
6144044220
734301241
oct13323764
95560363
102992116
111764026
121003670
13809baa
1457c5c8
153e1846
hex2da7f4

2992116 has 48 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 925056.

The previous prime is 2992109. The next prime is 2992117. The reversal of 2992116 is 6112992.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992117) 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, 10066 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

22992116 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 2992116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2992116 is an abundant number, since it is smaller than the sum of its proper divisors (4515468).

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

2992116 is a wasteful number, since it uses less digits than its factorization.

2992116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 2992116 is about 1729.7733955637. The cubic root of 2992116 is about 144.0985051317.

It can be divided in two parts, 299 and 2116, that added together give a triangular number (2415 = T69).

The spelling of 2992116 in words is "two million, nine hundred ninety-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 293 444 586 851 879 1172 1702 1758 2553 3404 3516 5106 6739 10212 10841 13478 20217 21682 26956 32523 40434 43364 65046 80868 130092 249343 498686 748029 997372 1496058 2992116