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8406310842 = 233677929411
BaseRepresentation
bin1111101010000111…
…00001111110111010
3210200211221211121000
413311003201332322
5114204003421332
63510052225430
7415213314606
oct76503417672
923624854530
108406310842
113624163836
12176730b276
13a3c784037
1459a632506
15343008b7c
hex1f50e1fba

8406310842 has 64 divisors (see below), whose sum is σ = 19200153600. Its totient is φ = 2725248240.

The previous prime is 8406310837. The next prime is 8406310879. The reversal of 8406310842 is 2480136048.

8406310842 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8406310797 and 8406310806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271117 + ... + 300527.

It is an arithmetic number, because the mean of its divisors is an integer number (300002400).

Almost surely, 28406310842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406310842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600076800).

8406310842 is an abundant number, since it is smaller than the sum of its proper divisors (10793842758).

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

8406310842 is a wasteful number, since it uses less digits than its factorization.

8406310842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29568 (or 29562 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8406310842 is about 91685.9359007694. The cubic root of 8406310842 is about 2033.3016589590.

The spelling of 8406310842 in words is "eight billion, four hundred six million, three hundred ten thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 79 134 158 201 237 402 474 603 711 1206 1422 1809 2133 3618 4266 5293 10586 15879 29411 31758 47637 58822 88233 95274 142911 176466 264699 285822 529398 794097 1588194 1970537 2323469 3941074 4646938 5911611 6970407 11823222 13940814 17734833 20911221 35469666 41822442 53204499 62733663 106408998 125467326 155672423 311344846 467017269 934034538 1401051807 2802103614 4203155421 8406310842