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5873376 = 253193317
BaseRepresentation
bin10110011001111011100000
3102001101202110
4112121323200
53000422001
6325515320
7100631355
oct26317340
912041673
105873376
113351833
121b72b40
1312a8492
14acc62c
157b03d6
hex599ee0

5873376 has 48 divisors (see below), whose sum is σ = 15546384. Its totient is φ = 1941504.

The previous prime is 5873359. The next prime is 5873419. The reversal of 5873376 is 6733785.

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

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, 18370 + ... + 18686.

It is an arithmetic number, because the mean of its divisors is an integer number (323883).

Almost surely, 25873376 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 5873376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773192).

5873376 is an abundant number, since it is smaller than the sum of its proper divisors (9673008).

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

5873376 is a wasteful number, since it uses less digits than its factorization.

5873376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 5873376 is about 2423.5048999332. The cubic root of 5873376 is about 180.4246762803.

The spelling of 5873376 in words is "five million, eight hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 317 386 579 634 772 951 1158 1268 1544 1902 2316 2536 3088 3804 4632 5072 6176 7608 9264 10144 15216 18528 30432 61181 122362 183543 244724 367086 489448 734172 978896 1468344 1957792 2936688 5873376