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36161216 = 267213887
BaseRepresentation
bin1000100111110…
…0011011000000
32112001011212022
42021330123000
533224124331
63331021012
7616236200
oct211743300
975034768
1036161216
1119459503
121013a768
137651490
144b34400
15329467b
hex227c6c0

36161216 has 84 divisors (see below), whose sum is σ = 89995248. Its totient is φ = 14289408.

The previous prime is 36161201. The next prime is 36161233. The reversal of 36161216 is 61216163.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

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 11 ways as a sum of consecutive naturals, for example, 40325 + ... + 41211.

It is an arithmetic number, because the mean of its divisors is an integer number (1071372).

Almost surely, 236161216 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 36161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997624).

36161216 is an abundant number, since it is smaller than the sum of its proper divisors (53834032).

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

36161216 is a wasteful number, since it uses less digits than its factorization.

36161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 909 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 36161216 is about 6013.4196593951. The cubic root of 36161216 is about 330.6848830871.

Adding to 36161216 its reverse (61216163), we get a palindrome (97377379).

The spelling of 36161216 in words is "thirty-six million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 887 1274 1456 1568 1774 2548 2912 3136 3548 5096 5824 6209 7096 10192 11531 12418 14192 20384 23062 24836 28384 40768 43463 46124 49672 56768 80717 86926 92248 99344 161434 173852 184496 198688 322868 347704 368992 397376 565019 645736 695408 737984 1130038 1291472 1390816 2260076 2582944 2781632 4520152 5165888 9040304 18080608 36161216