Search a number
-
+
201930048 = 2632477459
BaseRepresentation
bin11000000100100…
…11010101000000
3112001222002221200
430002103111000
5403143230143
632012021200
75001243225
oct1402232500
9461862850
10201930048
11a3a91041
1257761800
1332ab1948
141cb6594c
1512adb1d3
hexc093540

201930048 has 84 divisors (see below), whose sum is σ = 591190080. Its totient is φ = 65869056.

The previous prime is 201930023. The next prime is 201930061. The reversal of 201930048 is 840039102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23343 + ... + 30801.

Almost surely, 2201930048 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 201930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295595040).

201930048 is an abundant number, since it is smaller than the sum of its proper divisors (389260032).

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

201930048 is a wasteful number, since it uses less digits than its factorization.

201930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201930048 is about 14210.2092876917. The cubic root of 201930048 is about 586.6786935092.

The spelling of 201930048 in words is "two hundred one million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4512 6768 7459 9024 13536 14918 22377 27072 29836 44754 59672 67131 89508 119344 134262 179016 238688 268524 350573 358032 477376 537048 701146 716064 1051719 1074096 1402292 1432128 2103438 2148192 2804584 3155157 4206876 4296384 5609168 6310314 8413752 11218336 12620628 16827504 22436672 25241256 33655008 50482512 67310016 100965024 201930048