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5740896 = 25378543
BaseRepresentation
bin10101111001100101100000
3101210200000210
4111321211200
52432202041
6323014120
766540210
oct25714540
911720023
105740896
113271247
121b0a340
1312600a5
14a96240
15786016
hex579960

5740896 has 48 divisors (see below), whose sum is σ = 17224704. Its totient is φ = 1640064.

The previous prime is 5740879. The next prime is 5740897. The reversal of 5740896 is 6980475.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740897) by changing a digit.

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, 3600 + ... + 4943.

It is an arithmetic number, because the mean of its divisors is an integer number (358848).

Almost surely, 25740896 is an apocalyptic number.

5740896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5740896 is an abundant number, since it is smaller than the sum of its proper divisors (11483808).

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

5740896 is a wasteful number, since it uses less digits than its factorization.

5740896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563 (or 8555 counting only the distinct ones).

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

The square root of 5740896 is about 2396.0166944327. The cubic root of 5740896 is about 179.0577926847.

The spelling of 5740896 in words is "five million, seven hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8543 17086 25629 34172 51258 59801 68344 102516 119602 136688 179403 205032 239204 273376 358806 410064 478408 717612 820128 956816 1435224 1913632 2870448 5740896