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405329442 = 23738924809
BaseRepresentation
bin11000001010001…
…101011000100010
31001020200212110120
4120022031120202
51312231020232
6104115341110
713021146330
oct3012153042
91036625416
10405329442
11198886011
12b38b1796
1365c8930b
143bb90b50
15258b792c
hex1828d622

405329442 has 32 divisors (see below), whose sum is σ = 928886400. Its totient is φ = 115506048.

The previous prime is 405329423. The next prime is 405329443. The reversal of 405329442 is 244923504.

It is not an unprimeable number, because it can be changed into a prime (405329443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3934 + ... + 28742.

It is an arithmetic number, because the mean of its divisors is an integer number (29027700).

Almost surely, 2405329442 is an apocalyptic number.

405329442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

405329442 is an abundant number, since it is smaller than the sum of its proper divisors (523556958).

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

405329442 is a wasteful number, since it uses less digits than its factorization.

405329442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25210.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 405329442 is about 20132.7951859646. The cubic root of 405329442 is about 740.0641787532.

The spelling of 405329442 in words is "four hundred five million, three hundred twenty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 389 778 1167 2334 2723 5446 8169 16338 24809 49618 74427 148854 173663 347326 520989 1041978 9650701 19301402 28952103 57904206 67554907 135109814 202664721 405329442