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40467 = 374147
BaseRepresentation
bin1001111000010011
32001111210
421320103
52243332
6511203
7225660
oct117023
961453
1040467
1128449
121b503
131555b
1410a67
15becc
hex9e13

40467 has 16 divisors (see below), whose sum is σ = 64512. Its totient is φ = 22080.

The previous prime is 40459. The next prime is 40471. The reversal of 40467 is 76404.

40467 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40467 - 23 = 40459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

240467 is an apocalyptic number.

40467 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

40467 is a deficient number, since it is larger than the sum of its proper divisors (24045).

40467 is a wasteful number, since it uses less digits than its factorization.

40467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40467 is about 201.1641121075. The cubic root of 40467 is about 34.3320974409.

Subtracting 40467 from its reverse (76404), we obtain a cube (35937 = 333).

The spelling of 40467 in words is "forty thousand, four hundred sixty-seven".

Divisors: 1 3 7 21 41 47 123 141 287 329 861 987 1927 5781 13489 40467