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2092896 = 253213243
BaseRepresentation
bin111111110111101100000
310221022220200
413332331200
51013433041
6112505200
723534511
oct7767540
93838820
102092896
1111aa473
1284b200
13583800
143c6a08
152b51b6
hex1fef60

2092896 has 108 divisors (see below), whose sum is σ = 6594588. Its totient is φ = 628992.

The previous prime is 2092891. The next prime is 2092897. The reversal of 2092896 is 6982902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2092896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2092891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48651 + ... + 48693.

It is an arithmetic number, because the mean of its divisors is an integer number (61061).

22092896 is an apocalyptic number.

2092896 is a gapful number since it is divisible by the number (26) 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 2092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297294).

2092896 is an abundant number, since it is smaller than the sum of its proper divisors (4501692).

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

2092896 is a wasteful number, since it uses less digits than its factorization.

2092896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2092896 is about 1446.6844852973. The cubic root of 2092896 is about 127.9133528174.

The spelling of 2092896 in words is "two million, ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 169 172 208 234 258 288 312 338 344 387 416 468 507 516 559 624 676 688 774 936 1014 1032 1118 1248 1352 1376 1521 1548 1677 1872 2028 2064 2236 2704 3042 3096 3354 3744 4056 4128 4472 5031 5408 6084 6192 6708 7267 8112 8944 10062 12168 12384 13416 14534 16224 17888 20124 21801 24336 26832 29068 40248 43602 48672 53664 58136 65403 80496 87204 116272 130806 160992 174408 232544 261612 348816 523224 697632 1046448 2092896