Search a number
-
+
52132524000 = 253534344377
BaseRepresentation
bin110000100011010101…
…110010111111100000
311222120012112121121020
4300203111302333200
51323231411232000
635541020525440
73523615066614
oct604325627740
9158505477536
1052132524000
11201224a5987
12a12b0b0880
134bba80764b
142747a45344
151551bd3ba0
hexc23572fe0

52132524000 has 96 divisors (see below), whose sum is σ = 170786187936. Its totient is φ = 13902003200.

The previous prime is 52132523999. The next prime is 52132524019. The reversal of 52132524000 is 42523125.

52132524000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×521325240002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160189 + ... + 2184188.

It is an arithmetic number, because the mean of its divisors is an integer number (1779022791).

Almost surely, 252132524000 is an apocalyptic number.

52132524000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52132524000 is an abundant number, since it is smaller than the sum of its proper divisors (118653663936).

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

52132524000 is a wasteful number, since it uses less digits than its factorization.

52132524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344405 (or 4344387 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 52132524000 in words is "fifty-two billion, one hundred thirty-two million, five hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 4344377 8688754 13033131 17377508 21721885 26066262 34755016 43443770 52132524 65165655 69510032 86887540 104265048 108609425 130331310 139020064 173775080 208530096 217218850 260662620 325828275 347550160 417060192 434437700 521325240 543047125 651656550 695100320 868875400 1042650480 1086094250 1303313100 1629141375 1737750800 2085300960 2172188500 2606626200 3258282750 3475501600 4344377000 5213252400 6516565500 8688754000 10426504800 13033131000 17377508000 26066262000 52132524000