Search a number
-
+
52760064 = 29372701
BaseRepresentation
bin1100100101000…
…0111000000000
310200021111012110
43021100320000
5102001310224
65122455320
71210311300
oct311207000
9120244173
1052760064
1127866465
1215804540
13ac13796
147015600
154972929
hex3250e00

52760064 has 120 divisors (see below), whose sum is σ = 163737288. Its totient is φ = 15052800.

The previous prime is 52760063. The next prime is 52760083. The reversal of 52760064 is 46006725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52760063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74914 + ... + 75614.

Almost surely, 252760064 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 52760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81868644).

52760064 is an abundant number, since it is smaller than the sum of its proper divisors (110977224).

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

52760064 is an equidigital number, since it uses as much as digits as its factorization.

52760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 52760064 is about 7263.6123244568. The cubic root of 52760064 is about 375.0608825594.

Adding to 52760064 its reverse (46006725), we get a palindrome (98766789).

The spelling of 52760064 in words is "fifty-two million, seven hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 701 768 784 896 1176 1344 1402 1536 1568 1792 2103 2352 2688 2804 3136 3584 4206 4704 4907 5376 5608 6272 8412 9408 9814 10752 11216 12544 14721 16824 18816 19628 22432 25088 29442 33648 34349 37632 39256 44864 58884 67296 68698 75264 78512 89728 103047 117768 134592 137396 157024 179456 206094 235536 269184 274792 314048 358912 412188 471072 538368 549584 628096 824376 942144 1076736 1099168 1256192 1648752 1884288 2198336 2512384 3297504 3768576 4396672 6595008 7537152 8793344 13190016 17586688 26380032 52760064