Search a number
-
+
5504461752 = 23323131163467
BaseRepresentation
bin1010010000001011…
…10110101110111000
3112012121121121222210
411020011312232320
542233120234002
62310111415120
7253256103306
oct51005665670
915177547883
105504461752
112375141649
1210975244a0
1369951677a
143a3099276
152233a196c
hex148176bb8

5504461752 has 128 divisors (see below), whose sum is σ = 14589020160. Its totient is φ = 1727256960.

The previous prime is 5504461733. The next prime is 5504461759. The reversal of 5504461752 is 2571644055.

It is a self number, because there is not a number n which added to its sum of digits gives 5504461752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5504461759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11786623 + ... + 11787089.

It is an arithmetic number, because the mean of its divisors is an integer number (113976720).

Almost surely, 25504461752 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 5504461752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294510080).

5504461752 is an abundant number, since it is smaller than the sum of its proper divisors (9084558408).

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

5504461752 is a wasteful number, since it uses less digits than its factorization.

5504461752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 5504461752 is about 74192.0598986172. The cubic root of 5504461752 is about 1765.6513580056.

The spelling of 5504461752 in words is "five billion, five hundred four million, four hundred sixty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 131 138 163 184 262 276 326 393 467 489 524 552 652 786 934 978 1048 1304 1401 1572 1868 1956 2802 3013 3144 3736 3749 3912 5604 6026 7498 9039 10741 11208 11247 12052 14996 18078 21353 21482 22494 24104 29992 32223 36156 42706 42964 44988 61177 64059 64446 72312 76121 85412 85928 89976 122354 128118 128892 152242 170824 183531 228363 244708 256236 257784 304484 367062 456726 489416 491119 512472 608968 734124 913452 982238 1407071 1468248 1473357 1750783 1826904 1964476 2814142 2946714 3501566 3928952 4221213 5252349 5628284 5893428 7003132 8442426 9971851 10504698 11256568 11786856 14006264 16884852 19943702 21009396 29915553 33769704 39887404 42018792 59831106 79774808 119662212 229352573 239324424 458705146 688057719 917410292 1376115438 1834820584 2752230876 5504461752