Search a number
-
+
5779872 = 253274761
BaseRepresentation
bin10110000011000110100000
3101212122111100
4112003012200
52434423442
6323514400
7100061640
oct26030640
911778440
105779872
11329855a
121b28a00
131274a57
14aa6520
1579284c
hex5831a0

5779872 has 144 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 1589760.

The previous prime is 5779867. The next prime is 5779901. The reversal of 5779872 is 2789775.

5779872 is a `hidden beast` number, since 577 + 9 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (246960) is a multiple of the sum of its prime divisors (120).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94722 + ... + 94782.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 25779872 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 5779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

5779872 is an abundant number, since it is smaller than the sum of its proper divisors (13718880).

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

5779872 is a wasteful number, since it uses less digits than its factorization.

5779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 5779872 is about 2404.1364353963. The cubic root of 5779872 is about 179.4620978677.

The spelling of 5779872 in words is "five million, seven hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 61 63 72 84 94 96 112 122 126 141 144 168 183 188 224 244 252 282 288 329 336 366 376 423 427 488 504 549 564 658 672 732 752 846 854 976 987 1008 1098 1128 1281 1316 1464 1504 1692 1708 1952 1974 2016 2196 2256 2562 2632 2867 2928 2961 3384 3416 3843 3948 4392 4512 5124 5264 5734 5856 5922 6768 6832 7686 7896 8601 8784 10248 10528 11468 11844 13536 13664 15372 15792 17202 17568 20069 20496 22936 23688 25803 30744 31584 34404 40138 40992 45872 47376 51606 60207 61488 68808 80276 91744 94752 103212 120414 122976 137616 160552 180621 206424 240828 275232 321104 361242 412848 481656 642208 722484 825696 963312 1444968 1926624 2889936 5779872