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410242016 = 25432811061
BaseRepresentation
bin11000011100111…
…100101111100000
31001120221110020202
4120130330233200
51320010221031
6104412524332
713110666602
oct3034745740
91046843222
10410242016
111a0630998
12b54806a8
1366cb9372
143c6ad172
15260382cb
hex1873cbe0

410242016 has 48 divisors (see below), whose sum is σ = 830169648. Its totient is φ = 199449600.

The previous prime is 410241971. The next prime is 410242031. The reversal of 410242016 is 610242014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386126 + ... + 387186.

It is an arithmetic number, because the mean of its divisors is an integer number (17295201).

Almost surely, 2410242016 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 410242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415084824).

410242016 is an abundant number, since it is smaller than the sum of its proper divisors (419927632).

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

410242016 is a wasteful number, since it uses less digits than its factorization.

410242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 410242016 is about 20254.4320088222. The cubic root of 410242016 is about 743.0420283119.

The spelling of 410242016 in words is "four hundred ten million, two hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 86 172 281 344 562 688 1061 1124 1376 2122 2248 4244 4496 8488 8992 12083 16976 24166 33952 45623 48332 91246 96664 182492 193328 298141 364984 386656 596282 729968 1192564 1459936 2385128 4770256 9540512 12820063 25640126 51280252 102560504 205121008 410242016