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406244440 = 23571450873
BaseRepresentation
bin11000001101101…
…100110001011000
31001022102100121101
4120031230301120
51312444310230
6104151121144
713032010060
oct3015546130
91038370541
10406244440
11199350508
12b40731b4
1366219934
143bd4c3a0
15259e8aca
hex1836cc58

406244440 has 32 divisors (see below), whose sum is σ = 1044629280. Its totient is φ = 139283712.

The previous prime is 406244437. The next prime is 406244467. The reversal of 406244440 is 44442604.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 406244399 and 406244408.

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 7 ways as a sum of consecutive naturals, for example, 725157 + ... + 725716.

It is an arithmetic number, because the mean of its divisors is an integer number (32644665).

Almost surely, 2406244440 is an apocalyptic number.

406244440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406244440 is an abundant number, since it is smaller than the sum of its proper divisors (638384840).

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

406244440 is a wasteful number, since it uses less digits than its factorization.

406244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450891 (or 1450887 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 406244440 is about 20155.5064436496. The cubic root of 406244440 is about 740.6206383217.

The spelling of 406244440 in words is "four hundred six million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1450873 2901746 5803492 7254365 10156111 11606984 14508730 20312222 29017460 40624444 50780555 58034920 81248888 101561110 203122220 406244440