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53262432 = 2532792341
BaseRepresentation
bin1100101100101…
…1100001100000
310201020000022200
43023023201200
5102113344212
65141333200
71214503026
oct313134140
9121200280
1053262432
1128079943
1215a07200
13b05b342
147106716
154a216dc
hex32cb860

53262432 has 72 divisors (see below), whose sum is σ = 153447840. Its totient is φ = 17521920.

The previous prime is 53262431. The next prime is 53262439. The reversal of 53262432 is 23426235.

53262432 is a `hidden beast` number, since 5 + 3 + 2 + 624 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 53262396 and 53262405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53262431) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21582 + ... + 23922.

It is an arithmetic number, because the mean of its divisors is an integer number (2131220).

Almost surely, 253262432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723920).

53262432 is an abundant number, since it is smaller than the sum of its proper divisors (100185408).

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

53262432 is a wasteful number, since it uses less digits than its factorization.

53262432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2425 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 53262432 is about 7298.1115365552. Note that the first 3 decimals coincide. The cubic root of 53262432 is about 376.2475358094.

Adding to 53262432 its reverse (23426235), we get a palindrome (76688667).

The spelling of 53262432 in words is "fifty-three million, two hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2341 2528 2844 3792 4682 5688 7023 7584 9364 11376 14046 18728 21069 22752 28092 37456 42138 56184 74912 84276 112368 168552 184939 224736 337104 369878 554817 674208 739756 1109634 1479512 1664451 2219268 2959024 3328902 4438536 5918048 6657804 8877072 13315608 17754144 26631216 53262432