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52864968 = 23313179967
BaseRepresentation
bin1100100110101…
…0011111001000
310200110211002210
43021222133020
5102013134333
65125025120
71211226162
oct311523710
9120424083
1052864968
1127928262
12158551a0
13ac4c460
147041932
154993a63
hex326a7c8

52864968 has 64 divisors (see below), whose sum is σ = 150716160. Its totient is φ = 15307776.

The previous prime is 52864957. The next prime is 52864969. The reversal of 52864968 is 86946825.

It is a happy number.

52864968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52864969) 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 15 ways as a sum of consecutive naturals, for example, 321 + ... + 10287.

It is an arithmetic number, because the mean of its divisors is an integer number (2354940).

Almost surely, 252864968 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 52864968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75358080).

52864968 is an abundant number, since it is smaller than the sum of its proper divisors (97851192).

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

52864968 is a wasteful number, since it uses less digits than its factorization.

52864968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 10002 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 52864968 is about 7270.8299388722. The cubic root of 52864968 is about 375.3092985993.

The spelling of 52864968 in words is "fifty-two million, eight hundred sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 9967 19934 29901 39868 59802 79736 119604 129571 169439 239208 259142 338878 388713 508317 518284 677756 777426 1016634 1036568 1355512 1554852 2033268 2202707 3109704 4066536 4405414 6608121 8810828 13216242 17621656 26432484 52864968