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52766384 = 24111731733
BaseRepresentation
bin1100100101001…
…0011010110000
310200021210212112
43021102122300
5102002011014
65122544452
71210335566
oct311223260
9120253775
1052766384
1127870190
1215808128
13ac16618
147017a36
15497473e
hex32526b0

52766384 has 40 divisors (see below), whose sum is σ = 112238352. Its totient is φ = 23832320.

The previous prime is 52766381. The next prime is 52766411. The reversal of 52766384 is 48366725.

It is a happy number.

It is a super-3 number, since 3×527663843 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (52766381) 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 7 ways as a sum of consecutive naturals, for example, 29582 + ... + 31314.

Almost surely, 252766384 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 52766384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56119176).

52766384 is an abundant number, since it is smaller than the sum of its proper divisors (59471968).

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

52766384 is a wasteful number, since it uses less digits than its factorization.

52766384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1919 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 52766384 is about 7264.0473566738. The cubic root of 52766384 is about 375.0758578391.

The spelling of 52766384 in words is "fifty-two million, seven hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 173 176 346 692 1384 1733 1903 2768 3466 3806 6932 7612 13864 15224 19063 27728 30448 38126 76252 152504 299809 305008 599618 1199236 2398472 3297899 4796944 6595798 13191596 26383192 52766384