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405828816 = 2438454767
BaseRepresentation
bin11000001100000…
…111010011010000
31001021122020110220
4120030013103100
51312343010231
6104134153040
713025326251
oct3014072320
91037566426
10405828816
11199097218
12b3ab2780
13661026c3
143bc80b28
1525965896
hex183074d0

405828816 has 20 divisors (see below), whose sum is σ = 1048391232. Its totient is φ = 135276256.

The previous prime is 405828803. The next prime is 405828823. The reversal of 405828816 is 618828504.

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, 4227336 + ... + 4227431.

Almost surely, 2405828816 is an apocalyptic number.

It is an amenable number.

405828816 is an abundant number, since it is smaller than the sum of its proper divisors (642562416).

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

405828816 is a wasteful number, since it uses less digits than its factorization.

405828816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454778 (or 8454772 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 405828816 is about 20145.1933721173. The cubic root of 405828816 is about 740.3679786607.

The spelling of 405828816 in words is "four hundred five million, eight hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 8454767 16909534 25364301 33819068 50728602 67638136 101457204 135276272 202914408 405828816