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40164201 = 3371119319
BaseRepresentation
bin1001100100110…
…1101101101001
32210120112221000
42121031231221
540240223301
63552505213
7665250540
oct231155551
983515830
1040164201
1120742a60
121154b209
1384234cc
145497157
1537d5786
hex264db69

40164201 has 32 divisors (see below), whose sum is σ = 74188800. Its totient is φ = 20863440.

The previous prime is 40164167. The next prime is 40164227. The reversal of 40164201 is 10246104.

40164201 is a `hidden beast` number, since 401 + 64 + 201 = 666.

It is not a de Polignac number, because 40164201 - 210 = 40163177 is a prime.

It is a super-2 number, since 2×401642012 = 3226326083936802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40164401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7581 + ... + 11738.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 240164201 is an apocalyptic number.

It is an amenable number.

40164201 is a deficient number, since it is larger than the sum of its proper divisors (34024599).

40164201 is a wasteful number, since it uses less digits than its factorization.

40164201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19346 (or 19340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40164201 is about 6337.5232543952. The cubic root of 40164201 is about 342.4625167213.

The spelling of 40164201 in words is "forty million, one hundred sixty-four thousand, two hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 19319 57957 135233 173871 212509 405699 521613 637527 1217097 1487563 1912581 3651291 4462689 5737743 13388067 40164201