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201670048 = 2517389953
BaseRepresentation
bin11000000010100…
…11110110100000
3112001110220022001
430001103312200
5403111420143
632002253344
74666111216
oct1401236640
9461426261
10201670048
11a3923768
1257657254
1332a204b8
141cad8cb6
1512a8914d
hexc053da0

201670048 has 48 divisors (see below), whose sum is σ = 421916040. Its totient is φ = 94560256.

The previous prime is 201670039. The next prime is 201670181. The reversal of 201670048 is 840076102.

It can be written as a sum of positive squares in 4 ways, for example, as 167236624 + 34433424 = 12932^2 + 5868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201669998 and 201670025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211140 + ... + 212092.

Almost surely, 2201670048 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 201670048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210958020).

201670048 is an abundant number, since it is smaller than the sum of its proper divisors (220245992).

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

201670048 is a wasteful number, since it uses less digits than its factorization.

201670048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 201670048 is about 14201.0579887556. The cubic root of 201670048 is about 586.4267878352.

The spelling of 201670048 in words is "two hundred one million, six hundred seventy thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 389 544 778 953 1556 1906 3112 3812 6224 6613 7624 12448 13226 15248 16201 26452 30496 32402 52904 64804 105808 129608 211616 259216 370717 518432 741434 1482868 2965736 5931472 6302189 11862944 12604378 25208756 50417512 100835024 201670048