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5813088 = 253193187
BaseRepresentation
bin10110001011001101100000
3101221100001120
4112023031200
52442004323
6324332240
7100260531
oct26131540
911840046
105813088
113310506
121b44080
131286bc8
14ab4688
1579c5e3
hex58b360

5813088 has 48 divisors (see below), whose sum is σ = 16067520. Its totient is φ = 1835136.

The previous prime is 5813077. The next prime is 5813123. The reversal of 5813088 is 8803185.

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, 231 + ... + 3417.

It is an arithmetic number, because the mean of its divisors is an integer number (334740).

Almost surely, 25813088 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 5813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033760).

5813088 is an abundant number, since it is smaller than the sum of its proper divisors (10254432).

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

5813088 is a wasteful number, since it uses less digits than its factorization.

5813088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 5813088 is about 2411.0346326837. The cubic root of 5813088 is about 179.8052214042.

The spelling of 5813088 in words is "five million, eight hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3187 6374 9561 12748 19122 25496 38244 50992 60553 76488 101984 121106 152976 181659 242212 305952 363318 484424 726636 968848 1453272 1937696 2906544 5813088