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52576896 = 273235953
BaseRepresentation
bin1100100010010…
…0001010000000
310122221011221110
43020210022000
5101424430041
65114523320
71205616261
oct310441200
9118834843
1052576896
1127750889
1215736540
13ab7b2b8
146da8968
154938516
hex3224280

52576896 has 64 divisors (see below), whose sum is σ = 145753920. Its totient is φ = 16760832.

The previous prime is 52576877. The next prime is 52576897. The reversal of 52576896 is 69867525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52576897) 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 7 ways as a sum of consecutive naturals, for example, 5856 + ... + 11808.

It is an arithmetic number, because the mean of its divisors is an integer number (2277405).

Almost surely, 252576896 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 52576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72876960).

52576896 is an abundant number, since it is smaller than the sum of its proper divisors (93177024).

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

52576896 is a wasteful number, since it uses less digits than its factorization.

52576896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5981 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 52576896 is about 7250.9927596157. The cubic root of 52576896 is about 374.6263442518.

It can be divided in two parts, 525 and 76896, that added together give a triangular number (77421 = T393).

The spelling of 52576896 in words is "fifty-two million, five hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 5953 8832 11906 17859 23812 35718 47624 71436 95248 136919 142872 190496 273838 285744 380992 410757 547676 571488 761984 821514 1095352 1142976 1643028 2190704 2285952 3286056 4381408 6572112 8762816 13144224 17525632 26288448 52576896