Search a number
-
+
5484657280 = 27523409911
BaseRepresentation
bin1010001101110100…
…10011101010000000
3112011020100110100211
411012322103222000
542213033013110
62304123123504
7252625550314
oct50672235200
915136313324
105484657280
112364a45213
121090973594
136953a134b
143a05c1b44
1522178d98a
hex146e93a80

5484657280 has 128 divisors (see below), whose sum is σ = 13730342400. Its totient is φ = 2091048960.

The previous prime is 5484657271. The next prime is 5484657281. The reversal of 5484657280 is 827564845.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5484657281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6020025 + ... + 6020935.

It is an arithmetic number, because the mean of its divisors is an integer number (107268300).

Almost surely, 25484657280 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 5484657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865171200).

5484657280 is an abundant number, since it is smaller than the sum of its proper divisors (8245685120).

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

5484657280 is a wasteful number, since it uses less digits than its factorization.

5484657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

The square root of 5484657280 is about 74058.4720339274. The cubic root of 5484657280 is about 1763.5312709869.

The spelling of 5484657280 in words is "five billion, four hundred eighty-four million, six hundred fifty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 409 460 640 736 818 911 920 1472 1636 1822 1840 2045 2944 3272 3644 3680 4090 4555 6544 7288 7360 8180 9110 9407 13088 14576 14720 16360 18220 18814 20953 26176 29152 32720 36440 37628 41906 47035 52352 58304 65440 72880 75256 83812 94070 104765 116608 130880 145760 150512 167624 188140 209530 261760 291520 301024 335248 372599 376280 419060 583040 602048 670496 745198 752560 838120 1204096 1340992 1490396 1505120 1676240 1862995 2681984 2980792 3010240 3352480 3725990 5961584 6020480 6704960 7451980 8569777 11923168 13409920 14903960 17139554 23846336 29807920 34279108 42848885 47692672 59615840 68558216 85697770 119231680 137116432 171395540 238463360 274232864 342791080 548465728 685582160 1096931456 1371164320 2742328640 5484657280