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40667949 = 3272832281
BaseRepresentation
bin1001101100100…
…0101100101101
32211112010221100
42123020230231
540402333244
64011353313
71002446310
oct233105455
984463840
1040667949
1120a57483
1211752839
13856b89a
145588977
153884b69
hex26c8b2d

40667949 has 24 divisors (see below), whose sum is σ = 67401152. Its totient is φ = 23146560.

The previous prime is 40667903. The next prime is 40667971. The reversal of 40667949 is 94976604.

40667949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40667949 - 29 = 40667437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40667849) 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 23 ways as a sum of consecutive naturals, for example, 16689 + ... + 18969.

Almost surely, 240667949 is an apocalyptic number.

It is an amenable number.

40667949 is a deficient number, since it is larger than the sum of its proper divisors (26733203).

40667949 is a wasteful number, since it uses less digits than its factorization.

40667949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 40667949 is about 6377.1426987327. The cubic root of 40667949 is about 343.8883183745. Note that the first 3 decimals are identical.

It can be divided in two parts, 40667 and 949, that added together give a triangular number (41616 = T288).

The spelling of 40667949 in words is "forty million, six hundred sixty-seven thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 63 283 849 1981 2281 2547 5943 6843 15967 17829 20529 47901 143703 645523 1936569 4518661 5809707 13555983 40667949