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8328996 = 2232132372
BaseRepresentation
bin11111110001011100100100
3120200011020100
4133301130210
54113011441
6454304100
7130536534
oct37613444
916604210
108328996
114779775
122958030
131958100
14116b4c4
15ae7cb6
hex7f1724

8328996 has 81 divisors (see below), whose sum is σ = 23430771. Its totient is φ = 2493504.

The previous prime is 8328989. The next prime is 8329037. The reversal of 8328996 is 6998238.

The square root of 8328996 is 2886.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 8294400 = 186^2 + 2880^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 225090 + ... + 225126.

Almost surely, 28328996 is an apocalyptic number.

8328996 is the 2886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8328996

8328996 is an abundant number, since it is smaller than the sum of its proper divisors (15101775).

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

8328996 is a wasteful number, since it uses less digits than its factorization.

8328996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 8328996 is about 202.7048863649.

Multiplying 8328996 by its product of digits (186624), we get a square (1554390549504 = 12467522).

The spelling of 8328996 in words is "eight million, three hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 169 222 234 333 338 444 468 481 507 666 676 962 1014 1332 1369 1443 1521 1924 2028 2738 2886 3042 4107 4329 5476 5772 6084 6253 8214 8658 12321 12506 16428 17316 17797 18759 24642 25012 35594 37518 49284 53391 56277 71188 75036 106782 112554 160173 213564 225108 231361 320346 462722 640692 694083 925444 1388166 2082249 2776332 4164498 8328996