Search a number
-
+
52368768 = 27345051
BaseRepresentation
bin1100011111000…
…1010110000000
310122112121110000
43013301112000
5101401300033
65110240000
71204061424
oct307612600
9118477400
1052368768
1127619481
1215656000
13ab0764a
146d52b84
1548e6a13
hex31f1580

52368768 has 80 divisors (see below), whose sum is σ = 155879460. Its totient is φ = 17452800.

The previous prime is 52368761. The next prime is 52368779. The reversal of 52368768 is 86786325.

52368768 is a `hidden beast` number, since 523 + 68 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52368761) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 7843 + ... + 12893.

Almost surely, 252368768 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 52368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77939730).

52368768 is an abundant number, since it is smaller than the sum of its proper divisors (103510692).

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

52368768 is an equidigital number, since it uses as much as digits as its factorization.

52368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5056 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 52368768 is about 7236.6268385208. The cubic root of 52368768 is about 374.1313654844.

The spelling of 52368768 in words is "fifty-two million, three hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5051 5184 10102 10368 15153 20204 30306 40408 45459 60612 80816 90918 121224 136377 161632 181836 242448 272754 323264 363672 409131 484896 545508 646528 727344 818262 969792 1091016 1454688 1636524 1939584 2182032 2909376 3273048 4364064 5818752 6546096 8728128 13092192 17456256 26184384 52368768