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40642164 = 22321128949
BaseRepresentation
bin1001101100001…
…0011001110100
32211110211120100
42123002121310
540401022124
64011034100
71002311163
oct233023164
984424510
1040642164
1120a3a072
121173b930
13855cc24
14557d3da
15387c1c9
hex26c2674

40642164 has 18 divisors (see below), whose sum is σ = 102734450. Its totient is φ = 13547376.

The previous prime is 40642157. The next prime is 40642177. The reversal of 40642164 is 46124604.

40642164 is a `hidden beast` number, since 4 + 0 + 642 + 16 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30338064 + 10304100 = 5508^2 + 3210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 564439 + ... + 564510.

Almost surely, 240642164 is an apocalyptic number.

It is an amenable number.

40642164 is an abundant number, since it is smaller than the sum of its proper divisors (62092286).

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

40642164 is a wasteful number, since it uses less digits than its factorization.

40642164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128959 (or 1128954 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40642164 is about 6375.1207047396. The cubic root of 40642164 is about 343.8156236586.

Adding to 40642164 its reverse (46124604), we get a palindrome (86766768).

The spelling of 40642164 in words is "forty million, six hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1128949 2257898 3386847 4515796 6773694 10160541 13547388 20321082 40642164