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52655328 = 25321121511
BaseRepresentation
bin1100100011011…
…1010011100000
310200002011112100
43020313103200
5101434432303
65120330400
71206364035
oct310672340
9120064470
1052655328
11277a4800
1215773a00
13aba7bcb
146dc938c
1549518a3
hex32374e0

52655328 has 108 divisors (see below), whose sum is σ = 164697624. Its totient is φ = 15945600.

The previous prime is 52655321. The next prime is 52655353. The reversal of 52655328 is 82355625.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 52655292 and 52655301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52655321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34093 + ... + 35603.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 252655328 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 52655328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82348812).

52655328 is an abundant number, since it is smaller than the sum of its proper divisors (112042296).

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

52655328 is a wasteful number, since it uses less digits than its factorization.

52655328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1527 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52655328 is about 7256.3991069951. The cubic root of 52655328 is about 374.8125356346.

The spelling of 52655328 in words is "fifty-two million, six hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1511 1584 1936 2178 2904 3022 3168 3872 4356 4533 5808 6044 8712 9066 11616 12088 13599 16621 17424 18132 24176 27198 33242 34848 36264 48352 49863 54396 66484 72528 99726 108792 132968 145056 149589 182831 199452 217584 265936 299178 365662 398904 435168 531872 548493 598356 731324 797808 1096986 1196712 1462648 1595616 1645479 2193972 2393424 2925296 3290958 4387944 4786848 5850592 6581916 8775888 13163832 17551776 26327664 52655328