Search a number
-
+
5184029880 = 2332574319381
BaseRepresentation
bin1001101001111111…
…00000010010111000
3111101021200000002200
410310333200102320
541104102424010
62214223430200
7242315345511
oct46477402270
914337600080
105184029880
112220282417
121008155360
13648013b03
143726c7a08
152051a8cc0
hex134fe04b8

5184029880 has 96 divisors (see below), whose sum is σ = 16871643360. Its totient is φ = 1380476160.

The previous prime is 5184029833. The next prime is 5184029887. The reversal of 5184029880 is 889204815.

It is a happy number.

5184029880 is a `hidden beast` number, since 518 + 40 + 2 + 98 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5184029887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257790 + ... + 277170.

It is an arithmetic number, because the mean of its divisors is an integer number (175746285).

Almost surely, 25184029880 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 5184029880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435821680).

5184029880 is an abundant number, since it is smaller than the sum of its proper divisors (11687613480).

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

5184029880 is a wasteful number, since it uses less digits than its factorization.

5184029880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20141 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5184029880 is about 72000.2074997010. The cubic root of 5184029880 is about 1730.7028095490.

The spelling of 5184029880 in words is "five billion, one hundred eighty-four million, twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 743 1486 2229 2972 3715 4458 5944 6687 7430 8916 11145 13374 14860 17832 19381 22290 26748 29720 33435 38762 44580 53496 58143 66870 77524 89160 96905 116286 133740 155048 174429 193810 232572 267480 290715 348858 387620 465144 581430 697716 775240 872145 1162860 1395432 1744290 2325720 3488580 6977160 14400083 28800166 43200249 57600332 72000415 86400498 115200664 129600747 144000830 172800996 216001245 259201494 288001660 345601992 432002490 518402988 576003320 648003735 864004980 1036805976 1296007470 1728009960 2592014940 5184029880