Search a number
-
+
4533525216 = 2532112362219
BaseRepresentation
bin1000011100011100…
…00001101011100000
3102200221121221110100
410032032001223200
533241040301331
62025505102400
7220226220453
oct41616015340
912627557410
104533525216
111a17069660
12a66327a00
135733141cc
1431015549a
151b8011ae6
hex10e381ae0

4533525216 has 144 divisors (see below), whose sum is σ = 14675955840. Its totient is φ = 1314044160.

The previous prime is 4533525203. The next prime is 4533525257. The reversal of 4533525216 is 6125253354.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41755 + ... + 103973.

It is an arithmetic number, because the mean of its divisors is an integer number (101916360).

Almost surely, 24533525216 is an apocalyptic number.

4533525216 is a gapful number since it is divisible by the number (46) 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 4533525216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337977920).

4533525216 is an abundant number, since it is smaller than the sum of its proper divisors (10142430624).

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

4533525216 is a wasteful number, since it uses less digits than its factorization.

4533525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62269 (or 62258 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 4533525216 is about 67331.4578484678. The cubic root of 4533525216 is about 1655.0534042636.

The spelling of 4533525216 in words is "four billion, five hundred thirty-three million, five hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 2024 2208 2277 3036 3168 3312 4048 4554 6072 6624 8096 9108 12144 18216 24288 36432 62219 72864 124438 186657 248876 373314 497752 559971 684409 746628 995504 1119942 1368818 1431037 1493256 1991008 2053227 2239884 2737636 2862074 2986512 4106454 4293111 4479768 5475272 5724148 5973024 6159681 8212908 8586222 8959536 10950544 11448296 12319362 12879333 15741407 16425816 17172444 17919072 21901088 22896592 24638724 25758666 31482814 32851632 34344888 45793184 47224221 49277448 51517332 62965628 65703264 68689776 94448442 98554896 103034664 125931256 137379552 141672663 188896884 197109792 206069328 251862512 283345326 377793768 412138656 503725024 566690652 755587536 1133381304 1511175072 2266762608 4533525216