Search a number
-
+
5479669200 = 2435215130241
BaseRepresentation
bin1010001101001110…
…10001110111010000
3112010212222001000010
411012213101313100
542210243403300
62303424154520
7252535263645
oct50647216720
915125861003
105479669200
112362148635
12108b168a40
13694345b15
1439da83dcc
15221105a50
hex1469d1dd0

5479669200 has 120 divisors (see below), whose sum is σ = 17670037696. Its totient is φ = 1451520000.

The previous prime is 5479669171. The next prime is 5479669207. The reversal of 5479669200 is 29669745.

It is a tau number, because it is divible by the number of its divisors (120).

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 5479669200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5479669207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166080 + ... + 196320.

Almost surely, 25479669200 is an apocalyptic number.

5479669200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5479669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835018848).

5479669200 is an abundant number, since it is smaller than the sum of its proper divisors (12190368496).

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

5479669200 is a wasteful number, since it uses less digits than its factorization.

5479669200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30413 (or 30402 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 5479669200 is about 74024.7877403238. The cubic root of 5479669200 is about 1762.9964880647.

The spelling of 5479669200 in words is "five billion, four hundred seventy-nine million, six hundred sixty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 151 200 240 300 302 400 453 600 604 755 906 1200 1208 1510 1812 2265 2416 3020 3624 3775 4530 6040 7248 7550 9060 11325 12080 15100 18120 22650 30200 30241 36240 45300 60400 60482 90600 90723 120964 151205 181200 181446 241928 302410 362892 453615 483856 604820 725784 756025 907230 1209640 1451568 1512050 1814460 2268075 2419280 3024100 3628920 4536150 4566391 6048200 7257840 9072300 9132782 12096400 13699173 18144600 18265564 22831955 27398346 36289200 36531128 45663910 54796692 68495865 73062256 91327820 109593384 114159775 136991730 182655640 219186768 228319550 273983460 342479325 365311280 456639100 547966920 684958650 913278200 1095933840 1369917300 1826556400 2739834600 5479669200