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8404342542 = 2331913759791
BaseRepresentation
bin1111101001111000…
…00001011100001110
3210200201020211121000
413310330001130032
5114203002430132
63505542121130
7415160506251
oct76474013416
923621224530
108404342542
113623039a42
1217667201a6
13a3c24516b
1459a27d098
15342c6a87c
hex1f4f0170e

8404342542 has 64 divisors (see below), whose sum is σ = 19803110400. Its totient is φ = 2634586560.

The previous prime is 8404342519. The next prime is 8404342543. The reversal of 8404342542 is 2452434048.

8404342542 is a `hidden beast` number, since 84 + 0 + 4 + 34 + 2 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8404342497 and 8404342506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8404342543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110667 + ... + 170457.

It is an arithmetic number, because the mean of its divisors is an integer number (309423600).

Almost surely, 28404342542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8404342542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901555200).

8404342542 is an abundant number, since it is smaller than the sum of its proper divisors (11398767858).

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

8404342542 is a wasteful number, since it uses less digits than its factorization.

8404342542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59958 (or 59952 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 8404342542 is about 91675.2013469291. The cubic root of 8404342542 is about 2033.1429504151.

The spelling of 8404342542 in words is "eight billion, four hundred four million, three hundred forty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 137 171 274 342 411 513 822 1026 1233 2466 2603 3699 5206 7398 7809 15618 23427 46854 59791 70281 119582 140562 179373 358746 538119 1076238 1136029 1614357 2272058 3228714 3408087 6816174 8191367 10224261 16382734 20448522 24574101 30672783 49148202 61345566 73722303 147444606 155635973 221166909 311271946 442333818 466907919 933815838 1400723757 2801447514 4202171271 8404342542