Search a number
-
+
5505997440 = 273510726801
BaseRepresentation
bin1010010000010111…
…01101101010000000
3112012201111122120010
411020023231222000
542234013404230
62310204344520
7253305130446
oct51013555200
915181448503
105505997440
112375aa0409
121097b45140
13699933768
143a3378b96
152235a69b0
hex1482eda80

5505997440 has 128 divisors (see below), whose sum is σ = 17715049920. Its totient is φ = 1454489600.

The previous prime is 5505997429. The next prime is 5505997463. The reversal of 5505997440 is 447995055.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5505997440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192040 + ... + 218840.

Almost surely, 25505997440 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 5505997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8857524960).

5505997440 is an abundant number, since it is smaller than the sum of its proper divisors (12209052480).

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

5505997440 is a wasteful number, since it uses less digits than its factorization.

5505997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26930 (or 26918 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The square root of 5505997440 is about 74202.4085862447. The cubic root of 5505997440 is about 1765.8155422380.

The spelling of 5505997440 in words is "five billion, five hundred five million, nine hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 320 321 384 428 480 535 640 642 856 960 1070 1284 1605 1712 1920 2140 2568 3210 3424 4280 5136 6420 6848 8560 10272 12840 13696 17120 20544 25680 26801 34240 41088 51360 53602 68480 80403 102720 107204 134005 160806 205440 214408 268010 321612 402015 428816 536020 643224 804030 857632 1072040 1286448 1608060 1715264 2144080 2572896 2867707 3216120 3430528 4288160 5145792 5735414 6432240 8576320 8603121 10291584 11470828 12864480 14338535 17152640 17206242 22941656 25728960 28677070 34412484 43015605 45883312 51457920 57354140 68824968 86031210 91766624 114708280 137649936 172062420 183533248 229416560 275299872 344124840 367066496 458833120 550599744 688249680 917666240 1101199488 1376499360 1835332480 2752998720 5505997440