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36364016 = 2413792213
BaseRepresentation
bin1000101010110…
…1111011110000
32112102111001102
42022231323300
533302122031
63335223532
7621042353
oct212557360
975374042
1036364016
1119587907
1210217ba8
1376c2890
144b8829a
1532d47cb
hex22adef0

36364016 has 40 divisors (see below), whose sum is σ = 76870080. Its totient is φ = 16563456.

The previous prime is 36363997. The next prime is 36364067. The reversal of 36364016 is 61046363.

It is a self number, because there is not a number n which added to its sum of digits gives 36364016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15326 + ... + 17538.

It is an arithmetic number, because the mean of its divisors is an integer number (1921752).

Almost surely, 236364016 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 36364016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435040).

36364016 is an abundant number, since it is smaller than the sum of its proper divisors (40506064).

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

36364016 is a wasteful number, since it uses less digits than its factorization.

36364016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 36364016 is about 6030.2583692575. The cubic root of 36364016 is about 331.3019153946.

The spelling of 36364016 in words is "thirty-six million, three hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 2213 4108 4426 8216 8852 16432 17704 28769 35408 57538 115076 174827 230152 349654 460304 699308 1398616 2272751 2797232 4545502 9091004 18182008 36364016