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201012048 = 24324093413
BaseRepresentation
bin10111111101100…
…11001101010000
3112000020110200200
423332303031100
5402424341143
631540215200
74660400646
oct1376631520
9460213620
10201012048
11a3514366
125739a500
133284cb53
141c9a7196
15129a91d3
hexbfb3350

201012048 has 60 divisors (see below), whose sum is σ = 564095220. Its totient is φ = 66820608.

The previous prime is 201012047. The next prime is 201012059. The reversal of 201012048 is 840210102.

It can be written as a sum of positive squares in 2 ways, for example, as 186814224 + 14197824 = 13668^2 + 3768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 201012048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012047) 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, 57190 + ... + 60602.

It is an arithmetic number, because the mean of its divisors is an integer number (9401587).

Almost surely, 2201012048 is an apocalyptic number.

It is an amenable number.

201012048 is an abundant number, since it is smaller than the sum of its proper divisors (363083172).

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

201012048 is a wasteful number, since it uses less digits than its factorization.

201012048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201012048 is about 14177.8717725898. The cubic root of 201012048 is about 585.7883039060.

The spelling of 201012048 in words is "two hundred one million, twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 818 1227 1636 2454 3272 3413 3681 4908 6544 6826 7362 9816 10239 13652 14724 19632 20478 27304 29448 30717 40956 54608 58896 61434 81912 122868 163824 245736 491472 1395917 2791834 4187751 5583668 8375502 11167336 12563253 16751004 22334672 25126506 33502008 50253012 67004016 100506024 201012048