Search a number
-
+
52723300 = 22527109691
BaseRepresentation
bin1100100100011…
…1111001100100
310200012121202211
43021013321210
5101444121200
65122013204
71210066150
oct311077144
9120177684
1052723300
1127840883
12157a7204
13abccb26
147006060
154966aba
hex3247e64

52723300 has 72 divisors (see below), whose sum is σ = 132144320. Its totient is φ = 17884800.

The previous prime is 52723243. The next prime is 52723327. The reversal of 52723300 is 332725.

It is a happy number.

52723300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 75955 + ... + 76645.

Almost surely, 252723300 is an apocalyptic number.

52723300 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 52723300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66072160).

52723300 is an abundant number, since it is smaller than the sum of its proper divisors (79421020).

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

52723300 is a wasteful number, since it uses less digits than its factorization.

52723300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 52723300 is about 7261.0811867104. The cubic root of 52723300 is about 374.9737463102.

The spelling of 52723300 in words is "fifty-two million, seven hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 140 175 218 350 436 545 691 700 763 1090 1382 1526 2180 2725 2764 3052 3455 3815 4837 5450 6910 7630 9674 10900 13820 15260 17275 19075 19348 24185 34550 38150 48370 69100 75319 76300 96740 120925 150638 241850 301276 376595 483700 527233 753190 1054466 1506380 1882975 2108932 2636165 3765950 5272330 7531900 10544660 13180825 26361650 52723300