Search a number
-
+
5480459520 = 28352934871
BaseRepresentation
bin1010001101010100…
…10010110100000000
3112010221110012010020
411012222102310000
542210444201040
62303453133440
7252545065044
oct50652226400
915127405106
105480459520
112362638398
12108b48a280
13694561773
1439dc0c024
1522120ecd0
hex146a92d00

5480459520 has 144 divisors (see below), whose sum is σ = 17566561152. Its totient is φ = 1456168960.

The previous prime is 5480459519. The next prime is 5480459531. The reversal of 5480459520 is 259540845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122685 + ... + 1127555.

It is an arithmetic number, because the mean of its divisors is an integer number (121990008).

Almost surely, 25480459520 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 5480459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783280576).

5480459520 is an abundant number, since it is smaller than the sum of its proper divisors (12086101632).

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

5480459520 is a wasteful number, since it uses less digits than its factorization.

5480459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 5480459520 is about 74030.1257597203. The cubic root of 5480459520 is about 1763.0812416239.

The spelling of 5480459520 in words is "five billion, four hundred eighty million, four hundred fifty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 293 320 384 480 586 640 768 879 960 1172 1280 1465 1758 1920 2344 2930 3516 3840 4395 4688 4871 5860 7032 8790 9376 9742 11720 14064 14613 17580 18752 19484 23440 24355 28128 29226 35160 37504 38968 46880 48710 56256 58452 70320 73065 75008 77936 93760 97420 112512 116904 140640 146130 155872 187520 194840 225024 233808 281280 292260 311744 375040 389680 467616 562560 584520 623488 779360 935232 1125120 1169040 1246976 1427203 1558720 1870464 2338080 2854406 3117440 3740928 4281609 4676160 5708812 6234880 7136015 8563218 9352320 11417624 14272030 17126436 18704640 21408045 22835248 28544060 34252872 42816090 45670496 57088120 68505744 85632180 91340992 114176240 137011488 171264360 182681984 228352480 274022976 342528720 365363968 456704960 548045952 685057440 913409920 1096091904 1370114880 1826819840 2740229760 5480459520