Search a number
-
+
5179776 = 27374147
BaseRepresentation
bin10011110000100110000000
3100202011022120
4103300212000
52311223101
6303004240
762012250
oct23604600
910664276
105179776
112a18708
121899680
1310c4874
1498b960
156c4b36
hex4f0980

5179776 has 128 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1413120.

The previous prime is 5179739. The next prime is 5179831. The reversal of 5179776 is 6779715.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 110185 + ... + 110231.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 25179776 is an apocalyptic number.

5179776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5179776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

5179776 is an abundant number, since it is smaller than the sum of its proper divisors (11270784).

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

5179776 is a wasteful number, since it uses less digits than its factorization.

5179776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its digits is 92610, while the sum is 42.

The square root of 5179776 is about 2275.9121248414. The cubic root of 5179776 is about 173.0229290112.

The spelling of 5179776 in words is "five million, one hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 47 48 56 64 82 84 94 96 112 123 128 141 164 168 188 192 224 246 282 287 328 329 336 376 384 448 492 564 574 656 658 672 752 861 896 984 987 1128 1148 1312 1316 1344 1504 1722 1927 1968 1974 2256 2296 2624 2632 2688 3008 3444 3854 3936 3948 4512 4592 5248 5264 5781 6016 6888 7708 7872 7896 9024 9184 10528 11562 13489 13776 15416 15744 15792 18048 18368 21056 23124 26978 27552 30832 31584 36736 40467 42112 46248 53956 55104 61664 63168 80934 92496 107912 110208 123328 126336 161868 184992 215824 246656 323736 369984 431648 647472 739968 863296 1294944 1726592 2589888 5179776