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2685792 = 253101277
BaseRepresentation
bin1010001111101101100000
312001110012210
422033231200
51141421132
6133322120
731554204
oct12175540
95043183
102685792
11157496a
12a96340
13730635
144dcb04
15380bcc
hex28fb60

2685792 has 48 divisors (see below), whose sum is σ = 7145712. Its totient is φ = 883200.

The previous prime is 2685757. The next prime is 2685803. The reversal of 2685792 is 2975862.

It is a happy number.

2685792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2685792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9558 + ... + 9834.

It is an arithmetic number, because the mean of its divisors is an integer number (148869).

22685792 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 2685792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572856).

2685792 is an abundant number, since it is smaller than the sum of its proper divisors (4459920).

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

2685792 is a wasteful number, since it uses less digits than its factorization.

2685792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2685792 is about 1638.8386131648. The cubic root of 2685792 is about 139.0029845985.

The spelling of 2685792 in words is "two million, six hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 277 303 404 554 606 808 831 1108 1212 1616 1662 2216 2424 3232 3324 4432 4848 6648 8864 9696 13296 26592 27977 55954 83931 111908 167862 223816 335724 447632 671448 895264 1342896 2685792