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53278272 = 2632175441
BaseRepresentation
bin1100101100111…
…1011001000000
310201020211001100
43023033121000
5102114401042
65141534400
71214600145
oct313173100
9121224040
1053278272
112808a833
1215a14400
13b065608
14710c3cc
154a2624c
hex32cf640

53278272 has 84 divisors (see below), whose sum is σ = 161725356. Its totient is φ = 16711680.

The previous prime is 53278271. The next prime is 53278319. The reversal of 53278272 is 27287235.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 13133376 = 6336^2 + 3624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53278271) 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, 7072 + ... + 12512.

Almost surely, 253278272 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 53278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80862678).

53278272 is an abundant number, since it is smaller than the sum of its proper divisors (108447084).

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

53278272 is a wasteful number, since it uses less digits than its factorization.

53278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5463 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 53278272 is about 7299.1966681273. The cubic root of 53278272 is about 376.2848302028.

The spelling of 53278272 in words is "fifty-three million, two hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 5441 9792 10882 16323 21764 32646 43528 48969 65292 87056 92497 97938 130584 174112 184994 195876 261168 277491 348224 369988 391752 522336 554982 739976 783504 832473 1044672 1109964 1479952 1567008 1664946 2219928 2959904 3134016 3329892 4439856 5919808 6659784 8879712 13319568 17759424 26639136 53278272