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405804378 = 23723673761
BaseRepresentation
bin11000001100000…
…001010101011010
31001021120222221210
4120030001111122
51312341220003
6104133443550
713025165100
oct3014012532
91037528853
10405804378
1119907a921
12b3aa05b6
13660c4545
143bc75c70
152595d503
hex1830155a

405804378 has 48 divisors (see below), whose sum is σ = 946940544. Its totient is φ = 115597440.

The previous prime is 405804359. The next prime is 405804389. The reversal of 405804378 is 873408504.

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 23 ways as a sum of consecutive naturals, for example, 106018 + ... + 109778.

It is an arithmetic number, because the mean of its divisors is an integer number (19727928).

Almost surely, 2405804378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405804378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473470272).

405804378 is an abundant number, since it is smaller than the sum of its proper divisors (541136166).

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

405804378 is a wasteful number, since it uses less digits than its factorization.

405804378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 405804378 is about 20144.5868163137. The cubic root of 405804378 is about 740.3531173241.

The spelling of 405804378 in words is "four hundred five million, eight hundred four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 367 734 1101 2202 2569 3761 5138 7522 7707 11283 15414 17983 22566 26327 35966 52654 53949 78981 107898 157962 184289 368578 552867 1105734 1380287 2760574 4140861 8281722 9662009 19324018 28986027 57972054 67634063 135268126 202902189 405804378