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8608428 = 2232436783
BaseRepresentation
bin100000110101…
…101010101100
3121012100112200
4200311222230
54200432203
6504301500
7133112313
oct40655254
917170480
108608428
11494a704
122a71890
131a2535a
14120127a
15b509a3
hex835aac

8608428 has 72 divisors (see below), whose sum is σ = 22870848. Its totient is φ = 2727648.

The previous prime is 8608427. The next prime is 8608429. The reversal of 8608428 is 8248068.

8608428 is a `hidden beast` number, since 8 + 608 + 42 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8608427) and next prime (8608429).

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 Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8608392 and 8608401.

It is not an unprimeable number, because it can be changed into a prime (8608423) 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 23 ways as a sum of consecutive naturals, for example, 103675 + ... + 103757.

Almost surely, 28608428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8608428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435424).

8608428 is an abundant number, since it is smaller than the sum of its proper divisors (14262420).

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

8608428 is a wasteful number, since it uses less digits than its factorization.

8608428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

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

The square root of 8608428 is about 2934.0122699130. The cubic root of 8608428 is about 204.9468670548.

The spelling of 8608428 in words is "eight million, six hundred eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 67 83 86 129 134 166 172 201 249 258 268 332 387 402 498 516 603 747 774 804 996 1206 1494 1548 2412 2881 2988 3569 5561 5762 7138 8643 10707 11122 11524 14276 16683 17286 21414 22244 25929 32121 33366 34572 42828 50049 51858 64242 66732 100098 103716 128484 200196 239123 478246 717369 956492 1434738 2152107 2869476 4304214 8608428