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40401040 = 2453713649
BaseRepresentation
bin1001101000011…
…1100010010000
32211000120210211
42122013202100
540320313130
64001533504
71000255201
oct232074220
984016724
1040401040
1120894999
1211644294
1384a7254
1455195a8
153830a2a
hex2687890

40401040 has 40 divisors (see below), whose sum is σ = 96478200. Its totient is φ = 15722496.

The previous prime is 40401013. The next prime is 40401043. The reversal of 40401040 is 4010404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 36385024 = 2004^2 + 6032^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40401040.

It is not an unprimeable number, because it can be changed into a prime (40401043) 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, 3865 + ... + 9784.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 240401040 is an apocalyptic number.

40401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40401040 is an abundant number, since it is smaller than the sum of its proper divisors (56077160).

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

40401040 is a wasteful number, since it uses less digits than its factorization.

40401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13699 (or 13693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40401040 is about 6356.1812434826. The cubic root of 40401040 is about 343.1343386609.

Adding to 40401040 its reverse (4010404), we get a palindrome (44411444).

It can be divided in two parts, 404010 and 40, that multiplied together give a square (16160400 = 40202).

The spelling of 40401040 in words is "forty million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 13649 27298 54596 68245 109192 136490 218384 272980 505013 545960 1010026 1091920 2020052 2525065 4040104 5050130 8080208 10100260 20200520 40401040