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408228440 = 23510205711
BaseRepresentation
bin11000010101010…
…001001001011000
31001110011011010212
4120111101021120
51314001302230
6104301430252
713054612244
oct3025211130
91043134125
10408228440
1119a486084
12b486b388
13667629b9
143c307424
1525c8b895
hex18551258

408228440 has 16 divisors (see below), whose sum is σ = 918514080. Its totient is φ = 163291360.

The previous prime is 408228439. The next prime is 408228467. The reversal of 408228440 is 44822804.

It is a junction number, because it is equal to n+sod(n) for n = 408228397 and 408228406.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5102816 + ... + 5102895.

It is an arithmetic number, because the mean of its divisors is an integer number (57407130).

Almost surely, 2408228440 is an apocalyptic number.

408228440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408228440 is an abundant number, since it is smaller than the sum of its proper divisors (510285640).

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

408228440 is a wasteful number, since it uses less digits than its factorization.

408228440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205722 (or 10205718 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 408228440 is about 20204.6638180396. The cubic root of 408228440 is about 741.8243518333.

The spelling of 408228440 in words is "four hundred eight million, two hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10205711 20411422 40822844 51028555 81645688 102057110 204114220 408228440