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201064052 = 22726167251
BaseRepresentation
bin10111111101111…
…11111001110100
3112000100010000202
423332333321310
5402433022202
631541300032
74661005400
oct1376777164
9460303022
10201064052
11a354a442
1257404618
133286a717
141c9bc100
15129b9802
hexbfbfe74

201064052 has 72 divisors (see below), whose sum is σ = 423910368. Its totient is φ = 83160000.

The previous prime is 201064043. The next prime is 201064057. The reversal of 201064052 is 250460102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201064057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800927 + ... + 801177.

It is an arithmetic number, because the mean of its divisors is an integer number (5887644).

Almost surely, 2201064052 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 201064052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211955184).

201064052 is an abundant number, since it is smaller than the sum of its proper divisors (222846316).

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

201064052 is a wasteful number, since it uses less digits than its factorization.

201064052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 201064052 is about 14179.7056386936. The cubic root of 201064052 is about 585.8388161490.

The spelling of 201064052 in words is "two hundred one million, sixty-four thousand, fifty-two".

Divisors: 1 2 4 7 14 28 49 61 67 98 122 134 196 244 251 268 427 469 502 854 938 1004 1708 1757 1876 2989 3283 3514 4087 5978 6566 7028 8174 11956 12299 13132 15311 16348 16817 24598 28609 30622 33634 49196 57218 61244 67268 107177 114436 117719 200263 214354 235438 400526 428708 470876 750239 801052 824033 1025837 1500478 1648066 2051674 3000956 3296132 4103348 7180859 14361718 28723436 50266013 100532026 201064052