Search a number
-
+
201049056 = 25321353699
BaseRepresentation
bin10111111101111…
…00001111100000
3112000022100110100
423332330033200
5402432032211
631541102400
74660613565
oct1376741740
9460270410
10201049056
11a353a14a
12573b7a00
1332863950
141c9b686c
15129b5156
hexbfbc3e0

201049056 has 72 divisors (see below), whose sum is σ = 615724200. Its totient is φ = 61860096.

The previous prime is 201048997. The next prime is 201049061. The reversal of 201049056 is 650940102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2010490562 = 80841445836982272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23106 + ... + 30593.

It is an arithmetic number, because the mean of its divisors is an integer number (8551725).

Almost surely, 2201049056 is an apocalyptic number.

201049056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

201049056 is an abundant number, since it is smaller than the sum of its proper divisors (414675144).

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

201049056 is a wasteful number, since it uses less digits than its factorization.

201049056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53728 (or 53717 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 201049056 is about 14179.1768449371. The cubic root of 201049056 is about 585.8242512095.

Adding to 201049056 its reverse (650940102), we get a palindrome (851989158).

It can be divided in two parts, 20 and 1049056, that added together give a triangular number (1049076 = T1448).

The spelling of 201049056 in words is "two hundred one million, forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 53699 107398 161097 214796 322194 429592 483291 644388 698087 859184 966582 1288776 1396174 1718368 1933164 2094261 2577552 2792348 3866328 4188522 5155104 5584696 6282783 7732656 8377044 11169392 12565566 15465312 16754088 22338784 25131132 33508176 50262264 67016352 100524528 201049056