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201066048 = 26322912037
BaseRepresentation
bin10111111110000…
…00011001000000
3112000100012202200
423333000121000
5402433103143
631541313200
74661014251
oct1377003100
9460305680
10201066048
11a3550997
1257405800
133286b5c1
141c9bcb28
15129ba1d3
hexbfc0640

201066048 has 84 divisors (see below), whose sum is σ = 596242140. Its totient is φ = 64705536.

The previous prime is 201066043. The next prime is 201066067. The reversal of 201066048 is 840660102.

It can be written as a sum of positive squares in 2 ways, for example, as 38044224 + 163021824 = 6168^2 + 12768^2 .

It is not an unprimeable number, because it can be changed into a prime (201066043) 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, 10686 + ... + 22722.

Almost surely, 2201066048 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 201066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298121070).

201066048 is an abundant number, since it is smaller than the sum of its proper divisors (395176092).

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

201066048 is a wasteful number, since it uses less digits than its factorization.

201066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 201066048 is about 14179.7760207981. The cubic root of 201066048 is about 585.8407547193.

The spelling of 201066048 in words is "two hundred one million, sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 12037 16704 24074 36111 48148 72222 96296 108333 144444 192592 216666 288888 349073 385184 433332 577776 698146 770368 866664 1047219 1155552 1396292 1733328 2094438 2311104 2792584 3141657 3466656 4188876 5585168 6283314 6933312 8377752 11170336 12566628 16755504 22340672 25133256 33511008 50266512 67022016 100533024 201066048