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53831232 = 2632713279
BaseRepresentation
bin1100110101011…
…0011001000000
310202021220120100
43031112121000
5102240044412
65201442400
71222362240
oct315263100
9122256510
1053831232
1128428224
1216040400
13b1ca200
147213b20
154ad4edc
hex3356640

53831232 has 252 divisors, whose sum is σ = 193365120. Its totient is φ = 14017536.

The previous prime is 53831213. The next prime is 53831233. The reversal of 53831232 is 23213835.

53831232 is a `hidden beast` number, since 538 + 3 + 123 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 53831196 and 53831205.

It is not an unprimeable number, because it can be changed into a prime (53831233) 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 35 ways as a sum of consecutive naturals, for example, 681369 + ... + 681447.

Almost surely, 253831232 is an apocalyptic number.

53831232 is a gapful number since it is divisible by the number (52) 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 53831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96682560).

53831232 is an abundant number, since it is smaller than the sum of its proper divisors (139533888).

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

53831232 is a wasteful number, since it uses less digits than its factorization.

53831232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53831232 is about 7336.9770341742. The cubic root of 53831232 is about 377.5821367112.

The spelling of 53831232 in words is "fifty-three million, eight hundred thirty-one thousand, two hundred thirty-two".