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8434125 = 34537217
BaseRepresentation
bin100000001011…
…000111001101
3120212111110000
4200023013031
54124343000
6500434513
7131455200
oct40130715
916774400
108434125
114840757
1229a8a39
131993c0b
141197937
15b19000
hex80b1cd

8434125 has 120 divisors (see below), whose sum is σ = 19366776. Its totient is φ = 3628800.

The previous prime is 8434087. The next prime is 8434141. The reversal of 8434125 is 5214348.

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 8398404 = 189^2 + 2898^2 .

It is not a de Polignac number, because 8434125 - 28 = 8433869 is a prime.

It is a super-2 number, since 2×84341252 = 142268929031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3840) is a multiple of the sum of its prime divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 496117 + ... + 496133.

Almost surely, 28434125 is an apocalyptic number.

8434125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8434125 is an abundant number, since it is smaller than the sum of its proper divisors (10932651).

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

8434125 is a wasteful number, since it uses less digits than its factorization.

8434125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 32 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 8434125 is about 2904.1565040473. The cubic root of 8434125 is about 203.5541734484.

The spelling of 8434125 in words is "eight million, four hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 49 51 63 75 81 85 105 119 125 135 147 153 175 189 225 245 255 315 357 375 405 425 441 459 525 567 595 675 735 765 833 875 945 1071 1125 1225 1275 1323 1377 1575 1785 2025 2125 2205 2295 2499 2625 2835 2975 3213 3375 3675 3825 3969 4165 4725 5355 6125 6375 6615 6885 7497 7875 8925 9639 10125 11025 11475 12495 14175 14875 16065 18375 19125 19845 20825 22491 23625 26775 33075 34425 37485 44625 48195 55125 57375 62475 67473 70875 80325 99225 104125 112455 133875 165375 172125 187425 240975 312375 337365 401625 496125 562275 937125 1204875 1686825 2811375 8434125