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52772500 = 22541119101
BaseRepresentation
bin1100100101001…
…1111010010100
310200022010021001
43021103322110
5102002210000
65123033044
71210362454
oct311237224
9120263231
1052772500
1127874840
121580b784
13ac19341
147019d64
15497646a
hex3253e94

52772500 has 120 divisors (see below), whose sum is σ = 133832160. Its totient is φ = 18000000.

The previous prime is 52772497. The next prime is 52772513. The reversal of 52772500 is 527725.

52772500 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 39 ways as a sum of consecutive naturals, for example, 522450 + ... + 522550.

It is an arithmetic number, because the mean of its divisors is an integer number (1115268).

Almost surely, 252772500 is an apocalyptic number.

52772500 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 52772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66916080).

52772500 is an abundant number, since it is smaller than the sum of its proper divisors (81059660).

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

52772500 is a wasteful number, since it uses less digits than its factorization.

52772500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 52772500 is about 7264.4683219077. The cubic root of 52772500 is about 375.0903486010.

Multiplying 52772500 by its reverse (527725), we get a square (27849367562500 = 52772502).

52772500 divided by its reverse (527725) gives a square (100 = 102).

It can be divided in two parts, 5277 and 2500, that added together give a palindrome (7777).

The spelling of 52772500 in words is "fifty-two million, seven hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 101 110 125 190 202 209 220 250 275 380 404 418 475 500 505 550 625 836 950 1010 1045 1100 1111 1250 1375 1900 1919 2020 2090 2222 2375 2500 2525 2750 3838 4180 4444 4750 5050 5225 5500 5555 6875 7676 9500 9595 10100 10450 11110 11875 12625 13750 19190 20900 21109 22220 23750 25250 26125 27500 27775 38380 42218 47500 47975 50500 52250 55550 63125 84436 95950 104500 105545 111100 126250 130625 138875 191900 211090 239875 252500 261250 277750 422180 479750 522500 527725 555500 694375 959500 1055450 1199375 1388750 2110900 2398750 2638625 2777500 4797500 5277250 10554500 13193125 26386250 52772500