Search a number
-
+
52260096 = 28379721
BaseRepresentation
bin1100011101011…
…0110100000000
310122100002101010
43013112310000
5101334310341
65104040520
71203126540
oct307266400
9118302333
1052260096
1127554869
1215603140
13aa9a045
146d25320
1548c4716
hex31d6d00

52260096 has 72 divisors (see below), whose sum is σ = 158974144. Its totient is φ = 14929920.

The previous prime is 52260073. The next prime is 52260097. The reversal of 52260096 is 69006225.

It is a super-2 number, since 2×522600962 = 5462235267858432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52260097) 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 7 ways as a sum of consecutive naturals, for example, 516 + ... + 10236.

Almost surely, 252260096 is an apocalyptic number.

52260096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79487072).

52260096 is an abundant number, since it is smaller than the sum of its proper divisors (106714048).

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

52260096 is an equidigital number, since it uses as much as digits as its factorization.

52260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 52260096 is about 7229.1144685916. The cubic root of 52260096 is about 373.8723958667.

The spelling of 52260096 in words is "fifty-two million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 9721 19442 29163 38884 58326 68047 77768 116652 136094 155536 204141 233304 272188 311072 408282 466608 544376 622144 816564 933216 1088752 1244288 1633128 1866432 2177504 2488576 3266256 3732864 4355008 6532512 7465728 8710016 13065024 17420032 26130048 52260096