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52706752 = 2677
BaseRepresentation
bin1100100100001…
…1110111000000
310200011210001221
43021003313000
5101443104002
65121404424
71210000000
oct311036700
9120153057
1052706752
112782a3aa
1215799714
13abc5437
147000000
154961c37
hex3243dc0

52706752 has 56 divisors (see below), whose sum is σ = 122021600. Its totient is φ = 22588608.

The previous prime is 52706747. The next prime is 52706761. The reversal of 52706752 is 25760725.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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, 7529533 + ... + 7529539.

Almost surely, 252706752 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 52706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61010800).

52706752 is an abundant number, since it is smaller than the sum of its proper divisors (69314848).

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

52706752 is an frugal number, since it uses more digits than its factorization.

52706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 52706752 is about 7259.9415975612. The cubic root of 52706752 is about 374.9345118234.

The spelling of 52706752 in words is "fifty-two million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2401 2744 3136 4802 5488 9604 10976 16807 19208 21952 33614 38416 67228 76832 117649 134456 153664 235298 268912 470596 537824 823543 941192 1075648 1647086 1882384 3294172 3764768 6588344 7529536 13176688 26353376 52706752