Search a number
-
+
52927312 = 24191511153
BaseRepresentation
bin1100100111100…
…1101101010000
310200120222121211
43021321231100
5102022133222
65130225504
71211606014
oct311715520
9120528554
1052927312
1127970089
1215885294
13ac71949
14705a544
1549a7277
hex3279b50

52927312 has 40 divisors (see below), whose sum is σ = 108752960. Its totient is φ = 24883200.

The previous prime is 52927297. The next prime is 52927319. The reversal of 52927312 is 21372925.

52927312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52927319) 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 7 ways as a sum of consecutive naturals, for example, 45328 + ... + 46480.

It is an arithmetic number, because the mean of its divisors is an integer number (2718824).

Almost surely, 252927312 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 52927312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54376480).

52927312 is an abundant number, since it is smaller than the sum of its proper divisors (55825648).

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

52927312 is a wasteful number, since it uses less digits than its factorization.

52927312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1325 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 52927312 is about 7275.1159440933. The cubic root of 52927312 is about 375.4567755385.

The spelling of 52927312 in words is "fifty-two million, nine hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 151 152 302 304 604 1153 1208 2306 2416 2869 4612 5738 9224 11476 18448 21907 22952 43814 45904 87628 174103 175256 348206 350512 696412 1392824 2785648 3307957 6615914 13231828 26463656 52927312