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406245536 = 25191674001
BaseRepresentation
bin11000001101101…
…101000010100000
31001022102102002222
4120031231002200
51312444324121
6104151130212
713032013214
oct3015550240
91038372088
10406245536
11199351314
12b4073968
136621a298
143bd4c944
15259e90ab
hex1836d0a0

406245536 has 48 divisors (see below), whose sum is σ = 847143360. Its totient is φ = 191232000.

The previous prime is 406245523. The next prime is 406245551. The reversal of 406245536 is 635542604.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 406245496 and 406245505.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99536 + ... + 103536.

It is an arithmetic number, because the mean of its divisors is an integer number (17648820).

Almost surely, 2406245536 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 406245536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423571680).

406245536 is an abundant number, since it is smaller than the sum of its proper divisors (440897824).

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

406245536 is a wasteful number, since it uses less digits than its factorization.

406245536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 406245536 is about 20155.5336322311. The cubic root of 406245536 is about 740.6213043570.

The spelling of 406245536 in words is "four hundred six million, two hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 167 304 334 608 668 1336 2672 3173 4001 5344 6346 8002 12692 16004 25384 32008 50768 64016 76019 101536 128032 152038 304076 608152 668167 1216304 1336334 2432608 2672668 5345336 10690672 12695173 21381344 25390346 50780692 101561384 203122768 406245536