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52164632 = 2313736871
BaseRepresentation
bin1100011011111…
…1100000011000
310122011020102102
43012333200120
5101323232012
65102022532
71202251322
oct306774030
9118136372
1052164632
112749a073
1215577a48
13aa65760
146cdc612
1548a62c2
hex31bf818

52164632 has 32 divisors (see below), whose sum is σ = 106790880. Its totient is φ = 23742720.

The previous prime is 52164631. The next prime is 52164641. The reversal of 52164632 is 23646125.

52164632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×521646322 = 5442297663390848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52164595 and 52164604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52164631) 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, 4157 + ... + 11027.

It is an arithmetic number, because the mean of its divisors is an integer number (3337215).

Almost surely, 252164632 is an apocalyptic number.

52164632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52164632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53395440).

52164632 is an abundant number, since it is smaller than the sum of its proper divisors (54626248).

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

52164632 is a wasteful number, since it uses less digits than its factorization.

52164632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6959 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 52164632 is about 7222.5087054292. The cubic root of 52164632 is about 373.6446050551.

The spelling of 52164632 in words is "fifty-two million, one hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 3796 6871 7592 13742 27484 54968 89323 178646 357292 501583 714584 1003166 2006332 4012664 6520579 13041158 26082316 52164632