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36001998 = 23219105269
BaseRepresentation
bin1000100101010…
…1100011001110
32111202002110100
42021111203032
533204030443
63323351530
7615004044
oct211254316
974662410
1036001998
111935a91a
12100825a6
1375c6b76
144ad2394
1532623d3
hex22558ce

36001998 has 24 divisors (see below), whose sum is σ = 82110600. Its totient is φ = 11368944.

The previous prime is 36001993. The next prime is 36002009. The reversal of 36001998 is 89910063.

It is a super-2 number, since 2×360019982 = 2592287719984008, which contains 22 as substring.

36001998 is a modest number, since divided by 1998 gives 36 as remainder.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36001991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52293 + ... + 52976.

It is an arithmetic number, because the mean of its divisors is an integer number (3421275).

Almost surely, 236001998 is an apocalyptic number.

36001998 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

36001998 is an abundant number, since it is smaller than the sum of its proper divisors (46108602).

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

36001998 is a wasteful number, since it uses less digits than its factorization.

36001998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105296 (or 105293 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 36001998 is about 6000.1664976899. The cubic root of 36001998 is about 330.1988333419.

The spelling of 36001998 in words is "thirty-six million, one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 105269 210538 315807 631614 947421 1894842 2000111 4000222 6000333 12000666 18000999 36001998