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52016128 = 21079643
BaseRepresentation
bin1100011001101…
…1010000000000
310121212200201021
43012123100000
5101304004003
65054515224
71201062343
oct306332000
9117780637
1052016128
11273a853a
1215505b14
13aa12c98
146ca045a
1548772bd
hex319b400

52016128 has 44 divisors (see below), whose sum is σ = 105461440. Its totient is φ = 25638912.

The previous prime is 52016113. The next prime is 52016137. The reversal of 52016128 is 82161025.

It is a super-2 number, since 2×520161282 = 5411355144224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80575 + ... + 81217.

Almost surely, 252016128 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 52016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52730720).

52016128 is an abundant number, since it is smaller than the sum of its proper divisors (53445312).

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

52016128 is an equidigital number, since it uses as much as digits as its factorization.

52016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 52016128 is about 7212.2207398276. The cubic root of 52016128 is about 373.2897001160.

It can be divided in two parts, 520 and 16128, that multiplied together give a triangular number (8386560 = T4095).

The spelling of 52016128 in words is "fifty-two million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 643 1024 1264 1286 2528 2572 5056 5144 10112 10288 20224 20576 40448 41152 50797 80896 82304 101594 164608 203188 329216 406376 658432 812752 1625504 3251008 6502016 13004032 26008064 52016128