Search a number
-
+
5577554424 = 23313194321881
BaseRepresentation
bin1010011000111001…
…01011100111111000
3112101201011010021210
411030130223213320
542410323220144
62321242203120
7255134300421
oct51434534770
915351133253
105577554424
112402425212
1210b7ab34a0
136ab6c8b80
143aca84648
152299ddab9
hex14c72b9f8

5577554424 has 128 divisors (see below), whose sum is σ = 16175174400. Its totient is φ = 1587962880.

The previous prime is 5577554419. The next prime is 5577554431. The reversal of 5577554424 is 4244557755.

It is a super-2 number, since 2×55775544242 = 62218226705363943552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243964 + ... + 265844.

It is an arithmetic number, because the mean of its divisors is an integer number (126368550).

Almost surely, 25577554424 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 5577554424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087587200).

5577554424 is an abundant number, since it is smaller than the sum of its proper divisors (10597619976).

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

5577554424 is a wasteful number, since it uses less digits than its factorization.

5577554424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21965 (or 21961 counting only the distinct ones).

The product of its digits is 3920000, while the sum is 48.

The square root of 5577554424 is about 74683.0263446789. The cubic root of 5577554424 is about 1773.4322650380.

The spelling of 5577554424 in words is "five billion, five hundred seventy-seven million, five hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 43 52 57 76 78 86 104 114 129 152 156 172 228 247 258 312 344 456 494 516 559 741 817 988 1032 1118 1482 1634 1677 1976 2236 2451 2964 3268 3354 4472 4902 5928 6536 6708 9804 10621 13416 19608 21242 21881 31863 42484 43762 63726 65643 84968 87524 127452 131286 175048 254904 262572 284453 415739 525144 568906 831478 853359 940883 1137812 1247217 1662956 1706718 1881766 2275624 2494434 2822649 3325912 3413436 3763532 4988868 5404607 5645298 6826872 7527064 9977736 10809214 11290596 12231479 16213821 17876777 21618428 22581192 24462958 32427642 35753554 36694437 43236856 48925916 53630331 64855284 71507108 73388874 97851832 107260662 129710568 143014216 146777748 214521324 232398101 293555496 429042648 464796202 697194303 929592404 1394388606 1859184808 2788777212 5577554424