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5072775200 = 255217336653
BaseRepresentation
bin1001011100101110…
…00110100000100000
3111002112022200100222
410232113012200200
540342112301300
62155211102212
7236464610033
oct45627064040
914075280328
105072775200
1121734a40a9
12b96a41968
1362ac5c63c
14361a0701a
151ea52e785
hex12e5c6820

5072775200 has 72 divisors (see below), whose sum is σ = 12455835588. Its totient is φ = 2017326080.

The previous prime is 5072775199. The next prime is 5072775209. The reversal of 5072775200 is 25772705.

It can be written as a sum of positive squares in 6 ways, for example, as 2780663824 + 2292111376 = 52732^2 + 47876^2 .

It is not an unprimeable number, because it can be changed into a prime (5072775209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120074 + ... + 156726.

Almost surely, 25072775200 is an apocalyptic number.

5072775200 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 5072775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227917794).

5072775200 is an abundant number, since it is smaller than the sum of its proper divisors (7383060388).

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

5072775200 is a wasteful number, since it uses less digits than its factorization.

5072775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36846 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 5072775200 is about 71223.4174973372. The cubic root of 5072775200 is about 1718.2322743462.

The spelling of 5072775200 in words is "five billion, seventy-two million, seven hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 173 200 346 400 692 800 865 1384 1730 2768 3460 4325 5536 6920 8650 13840 17300 27680 34600 36653 69200 73306 138400 146612 183265 293224 366530 586448 733060 916325 1172896 1466120 1832650 2932240 3665300 5864480 6340969 7330600 12681938 14661200 25363876 29322400 31704845 50727752 63409690 101455504 126819380 158524225 202911008 253638760 317048450 507277520 634096900 1014555040 1268193800 2536387600 5072775200