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992712 = 233719311
BaseRepresentation
bin11110010010111001000
31212102202010
43302113020
5223231322
633135520
711303130
oct3622710
91772663
10992712
11618926
123ba5a0
13289b06
141bbac0
1514920c
hexf25c8

992712 has 64 divisors (see below), whose sum is σ = 2995200. Its totient is φ = 267840.

The previous prime is 992707. The next prime is 992723. The reversal of 992712 is 217299.

992712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9927122 = 1970954229888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 992712.

It is an unprimeable number.

992712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3037 + ... + 3347.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

2992712 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 992712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497600).

992712 is an abundant number, since it is smaller than the sum of its proper divisors (2002488).

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

992712 is a wasteful number, since it uses less digits than its factorization.

992712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 992712 is about 996.3493363274. The cubic root of 992712 is about 99.7564740994.

The spelling of 992712 in words is "nine hundred ninety-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 311 399 456 532 622 798 933 1064 1244 1596 1866 2177 2488 3192 3732 4354 5909 6531 7464 8708 11818 13062 17416 17727 23636 26124 35454 41363 47272 52248 70908 82726 124089 141816 165452 248178 330904 496356 992712