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5879136 = 253471303
BaseRepresentation
bin10110011011010101100000
3102001200122210
4112123111200
53001113021
6330002120
7100654224
oct26332540
912050583
105879136
11335609a
121b76340
1312aaca3
14ad0784
157b1e76
hex59b560

5879136 has 48 divisors (see below), whose sum is σ = 15773184. Its totient is φ = 1916544.

The previous prime is 5879123. The next prime is 5879177. The reversal of 5879136 is 6319785.

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

It is a junction number, because it is equal to n+sod(n) for n = 5879094 and 5879103.

It is a congruent number.

It is an unprimeable number.

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, 3861 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (328608).

Almost surely, 25879136 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 5879136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886592).

5879136 is an abundant number, since it is smaller than the sum of its proper divisors (9894048).

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

5879136 is a wasteful number, since it uses less digits than its factorization.

5879136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 5879136 is about 2424.6929702542. The cubic root of 5879136 is about 180.4836376335.

The spelling of 5879136 in words is "five million, eight hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1303 1504 2256 2606 3909 4512 5212 7818 10424 15636 20848 31272 41696 61241 62544 122482 125088 183723 244964 367446 489928 734892 979856 1469784 1959712 2939568 5879136