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53273376 = 2535131731
BaseRepresentation
bin1100101100111…
…0001100100000
310201020120100000
43023032030200
5102114222001
65141500000
71214546652
oct313161440
9121216300
1053273376
1128087092
1215a11600
13b063310
14710a6d2
154a24a86
hex32ce320

53273376 has 288 divisors, whose sum is σ = 184923648. Its totient is φ = 14929920.

The previous prime is 53273371. The next prime is 53273383. The reversal of 53273376 is 67337235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53273376.

It is not an unprimeable number, because it can be changed into a prime (53273371) 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 47 ways as a sum of consecutive naturals, for example, 1718481 + ... + 1718511.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 253273376 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 53273376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

53273376 is an abundant number, since it is smaller than the sum of its proper divisors (131650272).

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

53273376 is a wasteful number, since it uses less digits than its factorization.

53273376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 53273376 is about 7298.8612810493. The cubic root of 53273376 is about 376.2733036342.

The spelling of 53273376 in words is "fifty-three million, two hundred seventy-three thousand, three hundred seventy-six".