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5813472 = 253741211
BaseRepresentation
bin10110001011010011100000
3101221100120210
4112023103200
52442012342
6324334120
7100261620
oct26132340
911840523
105813472
113310825
121b44340
131287132
14ab4880
1579c79c
hex58b4e0

5813472 has 96 divisors (see below), whose sum is σ = 17950464. Its totient is φ = 1612800.

The previous prime is 5813443. The next prime is 5813527. The reversal of 5813472 is 2743185.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 53 + 85 + 1 + 38 + 45 + 78 + 213 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27447 + ... + 27657.

It is an arithmetic number, because the mean of its divisors is an integer number (186984).

Almost surely, 25813472 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 5813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975232).

5813472 is an abundant number, since it is smaller than the sum of its proper divisors (12136992).

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

5813472 is a wasteful number, since it uses less digits than its factorization.

5813472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 5813472 is about 2411.1142652309. The cubic root of 5813472 is about 179.8091804982.

It can be divided in two parts, 58 and 13472, that added together give a triangular number (13530 = T164).

The spelling of 5813472 in words is "five million, eight hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 211 224 246 287 328 336 422 492 574 633 656 672 844 861 984 1148 1266 1312 1477 1688 1722 1968 2296 2532 2954 3376 3444 3936 4431 4592 5064 5908 6752 6888 8651 8862 9184 10128 11816 13776 17302 17724 20256 23632 25953 27552 34604 35448 47264 51906 60557 69208 70896 103812 121114 138416 141792 181671 207624 242228 276832 363342 415248 484456 726684 830496 968912 1453368 1937824 2906736 5813472