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40466000 = 245320233
BaseRepresentation
bin1001101001011…
…1011001010000
32211010212220202
42122113121100
540324403000
64003154332
71000645451
oct232273120
984125822
1040466000
1120929783
12116759a8
1384ca9a3
145535128
153844dd5
hex2697650

40466000 has 40 divisors (see below), whose sum is σ = 97851624. Its totient is φ = 16185600.

The previous prime is 40465987. The next prime is 40466003. The reversal of 40466000 is 66404.

It can be written as a sum of positive squares in 4 ways, for example, as 1628176 + 38837824 = 1276^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40466003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8117 + ... + 12116.

Almost surely, 240466000 is an apocalyptic number.

40466000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40466000 is an abundant number, since it is smaller than the sum of its proper divisors (57385624).

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

40466000 is a wasteful number, since it uses less digits than its factorization.

40466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40466000 is about 6361.2891775174. The cubic root of 40466000 is about 343.3181463941.

The spelling of 40466000 in words is "forty million, four hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20233 40466 80932 101165 161864 202330 323728 404660 505825 809320 1011650 1618640 2023300 2529125 4046600 5058250 8093200 10116500 20233000 40466000