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8688042 = 2321123989
BaseRepresentation
bin100001001001…
…000110101010
3121100101202100
4201021012222
54211004132
6510114230
7133563366
oct41110652
917311670
108688042
1149a4500
122aab976
131a5266c
1412222a6
15b6937c
hex8491aa

8688042 has 36 divisors (see below), whose sum is σ = 20696130. Its totient is φ = 2632080.

The previous prime is 8688013. The next prime is 8688059. The reversal of 8688042 is 2408868.

It can be written as a sum of positive squares in only one way, i.e., 7502121 + 1185921 = 2739^2 + 1089^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8687988 and 8688006.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184 + ... + 4172.

Almost surely, 28688042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8688042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348065).

8688042 is an abundant number, since it is smaller than the sum of its proper divisors (12008088).

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

8688042 is a wasteful number, since it uses less digits than its factorization.

8688042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8688042 is about 2947.5484728839. The cubic root of 8688042 is about 205.5767379951.

The spelling of 8688042 in words is "eight million, six hundred eighty-eight thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3989 7978 11967 23934 35901 43879 71802 87758 131637 263274 394911 482669 789822 965338 1448007 2896014 4344021 8688042