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53685450 = 233527131923
BaseRepresentation
bin1100110011001…
…0110011001010
310202000111121000
43030302303022
5102220413300
65154355430
71221214230
oct314626312
9122014530
1053685450
1128338745
1215b8bb76
13b178a50
1471b6950
154aa6c00
hex3332cca

53685450 has 384 divisors, whose sum is σ = 199987200. Its totient is φ = 10264320.

The previous prime is 53685433. The next prime is 53685451. The reversal of 53685450 is 5458635.

53685450 is a `hidden beast` number, since 53 + 68 + 545 + 0 = 666.

53685450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53685451) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2334139 + ... + 2334161.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 253685450 is an apocalyptic number.

53685450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53685450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

53685450 is an abundant number, since it is smaller than the sum of its proper divisors (146301750).

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

53685450 is a wasteful number, since it uses less digits than its factorization.

53685450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 53685450 is about 7327.0355533463. The cubic root of 53685450 is about 377.2409813305.

The spelling of 53685450 in words is "fifty-three million, six hundred eighty-five thousand, four hundred fifty".