Search a number
-
+
36149454 = 23211416173
BaseRepresentation
bin1000100111100…
…1100011001110
32112000120201200
42021321203032
533223240304
63330450330
7616156665
oct211714316
975016650
1036149454
1119450690
12101339a6
137649013
144b2dddc
153290e39
hex22798ce

36149454 has 96 divisors (see below), whose sum is σ = 90181728. Its totient is φ = 10368000.

The previous prime is 36149453. The next prime is 36149459. The reversal of 36149454 is 45494163.

36149454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36149453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495162 + ... + 495234.

It is an arithmetic number, because the mean of its divisors is an integer number (939393).

Almost surely, 236149454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36149454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090864).

36149454 is an abundant number, since it is smaller than the sum of its proper divisors (54032274).

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

36149454 is a wasteful number, since it uses less digits than its factorization.

36149454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 36149454 is about 6012.4416005480. The cubic root of 36149454 is about 330.6490257256.

The spelling of 36149454 in words is "thirty-six million, one hundred forty-nine thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 61 66 73 82 99 122 123 146 183 198 219 246 366 369 438 451 549 657 671 738 803 902 1098 1314 1342 1353 1606 2013 2409 2501 2706 2993 4026 4059 4453 4818 5002 5986 6039 7227 7503 8118 8906 8979 12078 13359 14454 15006 17958 22509 26718 26937 27511 32923 40077 45018 48983 53874 55022 65846 80154 82533 97966 98769 146949 165066 182573 197538 247599 293898 296307 365146 440847 495198 547719 592614 881694 1095438 1643157 2008303 3286314 4016606 6024909 12049818 18074727 36149454