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52828300 = 22527163463
BaseRepresentation
bin1100100110000…
…1100010001100
310200101221210201
43021201202030
5102011001200
65124143244
71211014240
oct311414214
9120357721
1052828300
1127902758
1215837b24
13ac38865
147032420
154987c6a
hex326188c

52828300 has 72 divisors (see below), whose sum is σ = 132102656. Its totient is φ = 17962560.

The previous prime is 52828277. The next prime is 52828313. The reversal of 52828300 is 382825.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113869 + ... + 114331.

Almost surely, 252828300 is an apocalyptic number.

52828300 is a gapful number since it is divisible by the number (50) 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 52828300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66051328).

52828300 is an abundant number, since it is smaller than the sum of its proper divisors (79274356).

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

52828300 is a wasteful number, since it uses less digits than its factorization.

52828300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 52828300 is about 7268.3079186287. The cubic root of 52828300 is about 375.2225049883. Note that the first 3 decimals are identical.

The spelling of 52828300 in words is "fifty-two million, eight hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 463 652 700 815 926 1141 1630 1852 2282 2315 3241 3260 4075 4564 4630 5705 6482 8150 9260 11410 11575 12964 16205 16300 22820 23150 28525 32410 46300 57050 64820 75469 81025 114100 150938 162050 301876 324100 377345 528283 754690 1056566 1509380 1886725 2113132 2641415 3773450 5282830 7546900 10565660 13207075 26414150 52828300