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5208921200 = 245275931531
BaseRepresentation
bin1001101100111100…
…11101010001110000
3111110000111121120102
410312132131101300
541131440434300
62220513131532
7243040046120
oct46636352160
914400447512
105208921200
11223333365a
121014559ba8
1365021a6c2
14375b26c80
152074740d5
hex13679d470

5208921200 has 120 divisors (see below), whose sum is σ = 14545080960. Its totient is φ = 1755590400.

The previous prime is 5208921199. The next prime is 5208921203. The reversal of 5208921200 is 21298025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5208921203) 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 23 ways as a sum of consecutive naturals, for example, 149435 + ... + 180965.

It is an arithmetic number, because the mean of its divisors is an integer number (121209008).

Almost surely, 25208921200 is an apocalyptic number.

5208921200 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 5208921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272540480).

5208921200 is an abundant number, since it is smaller than the sum of its proper divisors (9336159760).

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

5208921200 is a wasteful number, since it uses less digits than its factorization.

5208921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31615 (or 31604 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5208921200 is about 72172.8563935224. The cubic root of 5208921200 is about 1733.4684000600.

The spelling of 5208921200 in words is "five billion, two hundred eight million, nine hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 59 70 80 100 112 118 140 175 200 236 280 295 350 400 413 472 560 590 700 826 944 1180 1400 1475 1652 2065 2360 2800 2950 3304 4130 4720 5900 6608 8260 10325 11800 16520 20650 23600 31531 33040 41300 63062 82600 126124 157655 165200 220717 252248 315310 441434 504496 630620 788275 882868 1103585 1261240 1576550 1765736 1860329 2207170 2522480 3153100 3531472 3720658 4414340 5517925 6306200 7441316 8828680 9301645 11035850 12612400 13022303 14882632 17657360 18603290 22071700 26044606 29765264 37206580 44143400 46508225 52089212 65111515 74413160 88286800 93016450 104178424 130223030 148826320 186032900 208356848 260446060 325557575 372065800 520892120 651115150 744131600 1041784240 1302230300 2604460600 5208921200