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5152375300 = 22521714920341
BaseRepresentation
bin1001100110001101…
…10000001000000100
3111022002002210011211
410303012300020010
541023002002200
62211133141204
7241452316222
oct46306601004
914262083154
105152375300
112204421906
12bb962a804
136415ac9a7
1436c407b12
15202504aba
hex1331b0204

5152375300 has 72 divisors (see below), whose sum is σ = 11918377800. Its totient is φ = 1926604800.

The previous prime is 5152375247. The next prime is 5152375381. The reversal of 5152375300 is 35732515.

It can be written as a sum of positive squares in 12 ways, for example, as 1364711364 + 3787663936 = 36942^2 + 61544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243130 + ... + 263470.

It is an arithmetic number, because the mean of its divisors is an integer number (165533025).

Almost surely, 25152375300 is an apocalyptic number.

5152375300 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 5152375300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959188900).

5152375300 is an abundant number, since it is smaller than the sum of its proper divisors (6766002500).

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

5152375300 is a wasteful number, since it uses less digits than its factorization.

5152375300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20521 (or 20514 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 5152375300 is about 71780.0480635114. The cubic root of 5152375300 is about 1727.1729585873.

The spelling of 5152375300 in words is "five billion, one hundred fifty-two million, three hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 149 170 298 340 425 596 745 850 1490 1700 2533 2980 3725 5066 7450 10132 12665 14900 20341 25330 40682 50660 63325 81364 101705 126650 203410 253300 345797 406820 508525 691594 1017050 1383188 1728985 2034100 3030809 3457970 6061618 6915940 8644925 12123236 15154045 17289850 30308090 34579700 51523753 60616180 75770225 103047506 151540450 206095012 257618765 303080900 515237530 1030475060 1288093825 2576187650 5152375300