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36052016 = 24711132251
BaseRepresentation
bin1000100110000…
…1110000110000
32111211122001212
42021201300300
533212131031
63324415252
7615302630
oct211416060
974748055
1036052016
1119394460
12100a7528
137613870
144b066c0
15327212b
hex2261c30

36052016 has 80 divisors (see below), whose sum is σ = 93827328. Its totient is φ = 12960000.

The previous prime is 36052001. The next prime is 36052021. The reversal of 36052016 is 61025063.

It is a junction number, because it is equal to n+sod(n) for n = 36051982 and 36052000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14891 + ... + 17141.

Almost surely, 236052016 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 36052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46913664).

36052016 is an abundant number, since it is smaller than the sum of its proper divisors (57775312).

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

36052016 is a wasteful number, since it uses less digits than its factorization.

36052016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 36052016 is about 6004.3331020189. Note that the first 3 decimals coincide. The cubic root of 36052016 is about 330.3516789568.

Adding to 36052016 its reverse (61025063), we get a palindrome (97077079).

The spelling of 36052016 in words is "thirty-six million, fifty-two thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2251 2288 4004 4502 8008 9004 15757 16016 18008 24761 29263 31514 36016 49522 58526 63028 99044 117052 126056 173327 198088 204841 234104 252112 321893 346654 396176 409682 468208 643786 693308 819364 1287572 1386616 1638728 2253251 2575144 2773232 3277456 4506502 5150288 9013004 18026008 36052016