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36561966 = 2371945817
BaseRepresentation
bin1000101101111…
…0010000101110
32112210112120220
42023132100232
533324440331
63343352210
7622525440
oct213362056
975715526
1036561966
1119702601
12102b2666
1377619cc
144bda490
153323296
hex22de42e

36561966 has 32 divisors (see below), whose sum is σ = 87970560. Its totient is φ = 9896256.

The previous prime is 36561961. The next prime is 36561983. The reversal of 36561966 is 66916563.

36561966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36561961) 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 15 ways as a sum of consecutive naturals, for example, 22111 + ... + 23706.

It is an arithmetic number, because the mean of its divisors is an integer number (2749080).

Almost surely, 236561966 is an apocalyptic number.

36561966 is an abundant number, since it is smaller than the sum of its proper divisors (51408594).

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

36561966 is a wasteful number, since it uses less digits than its factorization.

36561966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45848.

The product of its digits is 174960, while the sum is 42.

The square root of 36561966 is about 6046.6491546972. The cubic root of 36561966 is about 331.9019827260.

The spelling of 36561966 in words is "thirty-six million, five hundred sixty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 45817 91634 137451 274902 320719 641438 870523 962157 1741046 1924314 2611569 5223138 6093661 12187322 18280983 36561966