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40487040 = 273451171
BaseRepresentation
bin1001101001110…
…0100010000000
32211011221210000
42122130202000
540331041130
64003440000
71001064006
oct232344200
984157700
1040487040
1120943570
1211686000
138507439
14553ca76
15384b260
hex269c880

40487040 has 320 divisors, whose sum is σ = 159952320. Its totient is φ = 9676800.

The previous prime is 40487021. The next prime is 40487059. The reversal of 40487040 is 4078404.

It is an interprime number because it is at equal distance from previous prime (40487021) and next prime (40487059).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40486995 and 40487013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570205 + ... + 570275.

It is an arithmetic number, because the mean of its divisors is an integer number (499851).

Almost surely, 240487040 is an apocalyptic number.

40487040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976160).

40487040 is an abundant number, since it is smaller than the sum of its proper divisors (119465280).

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

40487040 is a wasteful number, since it uses less digits than its factorization.

40487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40487040 is about 6362.9427154423. The cubic root of 40487040 is about 343.3776380023.

The spelling of 40487040 in words is "forty million, four hundred eighty-seven thousand, forty".