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8328880 = 2457107139
BaseRepresentation
bin11111110001011010110000
3120200011002001
4133301122300
54113011010
6454303344
7130536310
oct37613260
916604061
108328880
11477967a
122957b54
131958041
14116b440
15ae7c3a
hex7f16b0

8328880 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2808576.

The previous prime is 8328877. The next prime is 8328893. The reversal of 8328880 is 888238.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×83288803 (a number of 22 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 59851 + ... + 59989.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 28328880 is an apocalyptic number.

8328880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8328880 is an abundant number, since it is smaller than the sum of its proper divisors (14169680).

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

8328880 is a wasteful number, since it uses less digits than its factorization.

8328880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 8328880 is about 2885.9799029099. The cubic root of 8328880 is about 202.7039453201.

The spelling of 8328880 in words is "eight million, three hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 139 140 214 278 280 428 535 556 560 695 749 856 973 1070 1112 1390 1498 1712 1946 2140 2224 2780 2996 3745 3892 4280 4865 5560 5992 7490 7784 8560 9730 11120 11984 14873 14980 15568 19460 29746 29960 38920 59492 59920 74365 77840 104111 118984 148730 208222 237968 297460 416444 520555 594920 832888 1041110 1189840 1665776 2082220 4164440 8328880