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2085048 = 233372197
BaseRepresentation
bin111111101000010111000
310220221011000
413331002320
51013210143
6112405000
723502600
oct7750270
93827130
102085048
1111a4589
12846760
13580074
143c3c00
152b2bd3
hex1fd0b8

2085048 has 96 divisors (see below), whose sum is σ = 6771600. Its totient is φ = 592704.

The previous prime is 2085037. The next prime is 2085049. The reversal of 2085048 is 8405802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10486 + ... + 10682.

22085048 is an apocalyptic number.

2085048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385800).

2085048 is an abundant number, since it is smaller than the sum of its proper divisors (4686552).

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

2085048 is a wasteful number, since it uses less digits than its factorization.

2085048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2085048 is about 1443.9695287644. The cubic root of 2085048 is about 127.7532681969.

The spelling of 2085048 in words is "two million, eighty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 197 216 252 294 378 392 394 441 504 588 591 756 788 882 1176 1182 1323 1379 1512 1576 1764 1773 2364 2646 2758 3528 3546 4137 4728 5292 5319 5516 7092 8274 9653 10584 10638 11032 12411 14184 16548 19306 21276 24822 28959 33096 37233 38612 42552 49644 57918 74466 77224 86877 99288 115836 148932 173754 231672 260631 297864 347508 521262 695016 1042524 2085048