Search a number
-
+
5262253300 = 2252196774091
BaseRepresentation
bin1001110011010011…
…11001110011110100
3111120201212011110101
410321221321303310
541234114101200
62230100203444
7244255262233
oct47151716364
914521764411
105262253300
11226044a877
12102a399584
1365b2a1665
1437cc4ab1a
1520beab26a
hex139a79cf4

5262253300 has 72 divisors (see below), whose sum is σ = 12040791840. Its totient is φ = 1990684800.

The previous prime is 5262253289. The next prime is 5262253301. The reversal of 5262253300 is 33522625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262253301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284255 + ... + 1288345.

It is an arithmetic number, because the mean of its divisors is an integer number (167233220).

Almost surely, 25262253300 is an apocalyptic number.

5262253300 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 5262253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020395920).

5262253300 is an abundant number, since it is smaller than the sum of its proper divisors (6778538540).

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

5262253300 is a wasteful number, since it uses less digits than its factorization.

5262253300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 5262253300 is about 72541.3902541163. The cubic root of 5262253300 is about 1739.3644241427.

Adding to 5262253300 its reverse (33522625), we get a palindrome (5295775925).

The spelling of 5262253300 in words is "five billion, two hundred sixty-two million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 677 950 1354 1900 2708 3385 4091 6770 8182 12863 13540 16364 16925 20455 25726 33850 40910 51452 64315 67700 77729 81820 102275 128630 155458 204550 257260 310916 321575 388645 409100 643150 777290 1286300 1554580 1943225 2769607 3886450 5539214 7772900 11078428 13848035 27696070 52622533 55392140 69240175 105245066 138480350 210490132 263112665 276960700 526225330 1052450660 1315563325 2631126650 5262253300