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40412500 = 22555361
BaseRepresentation
bin1001101000101…
…0010101010100
32211001011112021
42122022111110
540321200000
64002102524
71000333462
oct232122524
984034467
1040412500
11208a2567
121164aa44
1384ac52b
14551d832
15383411a
hex268a554

40412500 has 72 divisors (see below), whose sum is σ = 91541016. Its totient is φ = 15600000.

The previous prime is 40412483. The next prime is 40412507. The reversal of 40412500 is 521404.

It can be written as a sum of positive squares in 12 ways, for example, as 39513796 + 898704 = 6286^2 + 948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40412507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662470 + ... + 662530.

It is an arithmetic number, because the mean of its divisors is an integer number (1271403).

Almost surely, 240412500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45770508).

40412500 is an abundant number, since it is smaller than the sum of its proper divisors (51128516).

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

40412500 is an equidigital number, since it uses as much as digits as its factorization.

40412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 40412500 is about 6357.0826642415. The cubic root of 40412500 is about 343.1667796391.

Adding to 40412500 its reverse (521404), we get a palindrome (40933904).

The spelling of 40412500 in words is "forty million, four hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 61 100 106 122 125 212 244 250 265 305 500 530 610 625 1060 1220 1250 1325 1525 2500 2650 3050 3125 3233 5300 6100 6250 6466 6625 7625 12500 12932 13250 15250 16165 26500 30500 32330 33125 38125 64660 66250 76250 80825 132500 152500 161650 165625 190625 323300 331250 381250 404125 662500 762500 808250 1616500 2020625 4041250 8082500 10103125 20206250 40412500