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2085248 = 27111481
BaseRepresentation
bin111111101000110000000
310220221102102
413331012000
51013211443
6112405532
723503304
oct7750600
93827372
102085248
1111a4750
128468a8
13580199
143c3d04
152b2cb8
hex1fd180

2085248 has 32 divisors (see below), whose sum is σ = 4534920. Its totient is φ = 947200.

The previous prime is 2085247. The next prime is 2085253. The reversal of 2085248 is 8425802.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2085248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668 + ... + 2148.

22085248 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 2085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267460).

2085248 is an abundant number, since it is smaller than the sum of its proper divisors (2449672).

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

2085248 is a wasteful number, since it uses less digits than its factorization.

2085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2085248 is about 1444.0387806427. The cubic root of 2085248 is about 127.7573528089.

The spelling of 2085248 in words is "two million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1481 2962 5924 11848 16291 23696 32582 47392 65164 94784 130328 189568 260656 521312 1042624 2085248