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52854912 = 2732114397
BaseRepresentation
bin1100100110100…
…0000010000000
310200110022022100
43021220002000
5102012324122
65124510400
71211154645
oct311500200
9120408270
1052854912
1127920750
121584b400
13ac479c6
14703bdcc
154990aac
hex3268080

52854912 has 192 divisors, whose sum is σ = 171531360. Its totient is φ = 15482880.

The previous prime is 52854899. The next prime is 52854917. The reversal of 52854912 is 21945825.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (52854917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544848 + ... + 544944.

Almost surely, 252854912 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 52854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765680).

52854912 is an abundant number, since it is smaller than the sum of its proper divisors (118676448).

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

52854912 is a wasteful number, since it uses less digits than its factorization.

52854912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52854912 is about 7270.1383755744. The cubic root of 52854912 is about 375.2854999176.

The spelling of 52854912 in words is "fifty-two million, eight hundred fifty-four thousand, nine hundred twelve".