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3192096 = 25341811
BaseRepresentation
bin1100001011010100100000
320000011201210
430023110200
51304121341
6152230120
736063255
oct14132440
96004653
103192096
1118902a6
12109b340
13879c1b
145d142c
15430c16
hex30b520

3192096 has 48 divisors (see below), whose sum is σ = 8594208. Its totient is φ = 1036800.

The previous prime is 3192083. The next prime is 3192113. The reversal of 3192096 is 6902913.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3531 + ... + 4341.

It is an arithmetic number, because the mean of its divisors is an integer number (179046).

Almost surely, 23192096 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 3192096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297104).

3192096 is an abundant number, since it is smaller than the sum of its proper divisors (5402112).

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

3192096 is a wasteful number, since it uses less digits than its factorization.

3192096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 3192096 is about 1786.6437809480. The cubic root of 3192096 is about 147.2398324780.

It can be divided in two parts, 319 and 2096, that added together give a triangular number (2415 = T69).

The spelling of 3192096 in words is "three million, one hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 811 984 1312 1622 1968 2433 3244 3936 4866 6488 9732 12976 19464 25952 33251 38928 66502 77856 99753 133004 199506 266008 399012 532016 798024 1064032 1596048 3192096