Search a number
-
+
52706944 = 273137359
BaseRepresentation
bin1100100100001…
…1111010000000
310200011210100001
43021003322000
5101443110234
65121405344
71210000363
oct311037200
9120153301
1052706944
112782a564
1215799854
13abc5554
1470000da
154961d14
hex3243e80

52706944 has 64 divisors (see below), whose sum is σ = 111628800. Its totient is φ = 24744960.

The previous prime is 52706939. The next prime is 52706947. The reversal of 52706944 is 44960725.

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 (37).

It is not an unprimeable number, because it can be changed into a prime (52706947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146637 + ... + 146995.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 252706944 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 52706944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814400).

52706944 is an abundant number, since it is smaller than the sum of its proper divisors (58921856).

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

52706944 is a wasteful number, since it uses less digits than its factorization.

52706944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 52706944 is about 7259.9548207961. The cubic root of 52706944 is about 374.9349670929.

The spelling of 52706944 in words is "fifty-two million, seven hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 296 359 496 592 718 992 1147 1184 1436 1984 2294 2368 2872 3968 4588 4736 5744 9176 11129 11488 13283 18352 22258 22976 26566 36704 44516 45952 53132 73408 89032 106264 146816 178064 212528 356128 411773 425056 712256 823546 850112 1424512 1647092 1700224 3294184 6588368 13176736 26353472 52706944