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5481410928 = 2437197871091
BaseRepresentation
bin1010001101011011…
…11011000101110000
3112011000020112012120
411012231323011300
542211220122203
62303525354240
7252556136610
oct50655730560
915130215176
105481410928
112363128184
12108b868980
13694805826
1439ddb8a40
1522134bb53
hex146b7b170

5481410928 has 160 divisors (see below), whose sum is σ = 17072240640. Its totient is φ = 1480446720.

The previous prime is 5481410923. The next prime is 5481410981. The reversal of 5481410928 is 8290141845.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5481410928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5481410923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5023663 + ... + 5024753.

It is an arithmetic number, because the mean of its divisors is an integer number (106701504).

Almost surely, 25481410928 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 5481410928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536120320).

5481410928 is an abundant number, since it is smaller than the sum of its proper divisors (11590829712).

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

5481410928 is a wasteful number, since it uses less digits than its factorization.

5481410928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 5481410928 is about 74036.5512973153. The cubic root of 5481410928 is about 1763.1832593796.

The spelling of 5481410928 in words is "five billion, four hundred eighty-one million, four hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 787 798 912 1064 1091 1574 1596 2128 2182 2361 3148 3192 3273 4364 4722 5509 6296 6384 6546 7637 8728 9444 11018 12592 13092 14953 15274 16527 17456 18888 20729 22036 22911 26184 29906 30548 33054 37776 41458 44072 44859 45822 52368 59812 61096 62187 66108 82916 88144 89718 91644 104671 119624 122192 124374 132216 145103 165832 179436 183288 209342 239248 248748 264432 290206 314013 331664 358872 366576 418684 435309 497496 580412 628026 717744 837368 858617 870618 994992 1160824 1256052 1674736 1717234 1741236 2321648 2512104 2575851 3434468 3482472 5024208 5151702 6010319 6868936 6964944 10303404 12020638 13737872 16313723 18030957 20606808 24041276 32627446 36061914 41213616 48082552 48941169 65254892 72123828 96165104 97882338 114196061 130509784 144247656 195764676 228392122 261019568 288495312 342588183 391529352 456784244 685176366 783058704 913568488 1370352732 1827136976 2740705464 5481410928