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52938272 = 2517234231
BaseRepresentation
bin1100100111110…
…0011000100000
310200121112122202
43021330120200
5102023011042
65130352332
71211652662
oct311743040
9120545582
1052938272
1127978342
121588b6a8
13ac7692a
147060532
1549aa632
hex327c620

52938272 has 48 divisors (see below), whose sum is σ = 115178112. Its totient is φ = 23823360.

The previous prime is 52938271. The next prime is 52938287. The reversal of 52938272 is 27283925.

It is not an unprimeable number, because it can be changed into a prime (52938271) 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, 10397 + ... + 14627.

It is an arithmetic number, because the mean of its divisors is an integer number (2399544).

Almost surely, 252938272 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 52938272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57589056).

52938272 is an abundant number, since it is smaller than the sum of its proper divisors (62239840).

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

52938272 is a wasteful number, since it uses less digits than its factorization.

52938272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4273 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 52938272 is about 7275.8691577021. The cubic root of 52938272 is about 375.4826898356.

The spelling of 52938272 in words is "fifty-two million, nine hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 3128 4231 6256 8462 12512 16924 33848 67696 71927 97313 135392 143854 194626 287708 389252 575416 778504 1150832 1557008 1654321 2301664 3114016 3308642 6617284 13234568 26469136 52938272