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8163828 = 223537227
BaseRepresentation
bin11111001001000111110100
3120100202200000
4133021013310
54042220303
6450551300
7126251151
oct37110764
916322600
108163828
114676672
122898530
1318cab8a
141127228
15ab3da3
hex7c91f4

8163828 has 72 divisors (see below), whose sum is σ = 22075872. Its totient is φ = 2636064.

The previous prime is 8163823. The next prime is 8163829. The reversal of 8163828 is 8283618.

It is a super-2 number, since 2×81638282 = 133296175227168, which contains 22 as substring.

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 = 8163792 and 8163801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8163821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35851 + ... + 36077.

Almost surely, 28163828 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 8163828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037936).

8163828 is an abundant number, since it is smaller than the sum of its proper divisors (13912044).

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

8163828 is a wasteful number, since it uses less digits than its factorization.

8163828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8163828 is about 2857.2413268746. The cubic root of 8163828 is about 201.3560186222.

The spelling of 8163828 in words is "eight million, one hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 227 243 324 333 444 454 486 666 681 908 972 999 1332 1362 1998 2043 2724 2997 3996 4086 5994 6129 8172 8399 8991 11988 12258 16798 17982 18387 24516 25197 33596 35964 36774 50394 55161 73548 75591 100788 110322 151182 220644 226773 302364 453546 680319 907092 1360638 2040957 2721276 4081914 8163828