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40406004 = 22321122389
BaseRepresentation
bin1001101000100…
…0101111110100
32211000211121200
42122020233310
540320443004
64002012500
71000305522
oct232105764
984024550
1040406004
11208986a1
1211647130
1384a95a2
14551b312
153832239
hex2688bf4

40406004 has 18 divisors (see below), whose sum is σ = 102137490. Its totient is φ = 13468656.

The previous prime is 40405993. The next prime is 40406081. The reversal of 40406004 is 40060404.

40406004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40297104 + 108900 = 6348^2 + 330^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 561159 + ... + 561230.

It is an arithmetic number, because the mean of its divisors is an integer number (5674305).

Almost surely, 240406004 is an apocalyptic number.

It is an amenable number.

40406004 is an abundant number, since it is smaller than the sum of its proper divisors (61731486).

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

40406004 is a wasteful number, since it uses less digits than its factorization.

40406004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122399 (or 1122394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40406004 is about 6356.5717175220. The cubic root of 40406004 is about 343.1483915095.

Adding to 40406004 its reverse (40060404), we get a palindrome (80466408).

The spelling of 40406004 in words is "forty million, four hundred six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1122389 2244778 3367167 4489556 6734334 10101501 13468668 20203002 40406004