Search a number
-
+
5504436224 = 2117599641
BaseRepresentation
bin1010010000001011…
…10000100000000000
3112012121120022222022
411020011300200000
542233113424344
62310111101012
7253255636010
oct51005604000
915177508868
105504436224
112375124451
121097511768
13699507c71
143a308dc40
152233990ee
hex148170800

5504436224 has 96 divisors (see below), whose sum is σ = 12619152000. Its totient is φ = 2351431680.

The previous prime is 5504436191. The next prime is 5504436233. The reversal of 5504436224 is 4226344055.

It is a super-3 number, since 3×55044362243 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8586944 + ... + 8587584.

It is an arithmetic number, because the mean of its divisors is an integer number (131449500).

Almost surely, 25504436224 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 5504436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309576000).

5504436224 is an abundant number, since it is smaller than the sum of its proper divisors (7114715776).

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

5504436224 is an equidigital number, since it uses as much as digits as its factorization.

5504436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The square root of 5504436224 is about 74191.8878584445. The cubic root of 5504436224 is about 1765.6486284854.

The spelling of 5504436224 in words is "five billion, five hundred four million, four hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 599 641 896 1024 1198 1282 1792 2048 2396 2564 3584 4193 4487 4792 5128 7168 8386 8974 9584 10256 14336 16772 17948 19168 20512 33544 35896 38336 41024 67088 71792 76672 82048 134176 143584 153344 164096 268352 287168 306688 328192 383959 536704 574336 613376 656384 767918 1073408 1148672 1226752 1312768 1535836 2146816 2297344 2687713 3071672 4293632 4594688 5375426 6143344 8587264 9189376 10750852 12286688 21501704 24573376 43003408 49146752 86006816 98293504 172013632 196587008 344027264 393174016 688054528 786348032 1376109056 2752218112 5504436224