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4097856 = 26373049
BaseRepresentation
bin1111101000011101000000
321201012012110
433220131000
52022112411
6223455320
746555050
oct17503500
97635173
104097856
112349864
121457540
13b06289
14789560
1555e2a6
hex3e8740

4097856 has 56 divisors (see below), whose sum is σ = 12395200. Its totient is φ = 1170432.

The previous prime is 4097843. The next prime is 4097869. The reversal of 4097856 is 6587904.

It is an interprime number because it is at equal distance from previous prime (4097843) and next prime (4097869).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 181 + ... + 2868.

Almost surely, 24097856 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 4097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197600).

4097856 is an abundant number, since it is smaller than the sum of its proper divisors (8297344).

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

4097856 is a wasteful number, since it uses less digits than its factorization.

4097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3061 counting only the distinct ones).

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

The square root of 4097856 is about 2024.3161808374. The cubic root of 4097856 is about 160.0241630174.

The spelling of 4097856 in words is "four million, ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3049 6098 9147 12196 18294 21343 24392 36588 42686 48784 64029 73176 85372 97568 128058 146352 170744 195136 256116 292704 341488 512232 585408 682976 1024464 1365952 2048928 4097856