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8852328 = 233419719
BaseRepresentation
bin100001110001…
…001101101000
3121122202010000
4201301031220
54231233303
6513423000
7135146352
oct41611550
917582100
108852328
114aa6981
122b6aa60
131aac384
1412660d2
15b9cda3
hex871368

8852328 has 80 divisors (see below), whose sum is σ = 26136000. Its totient is φ = 2791584.

The previous prime is 8852323. The next prime is 8852339. The reversal of 8852328 is 8232588.

It is a super-2 number, since 2×88523282 = 156727422039168, 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 = 8852292 and 8852301.

It is not an unprimeable number, because it can be changed into a prime (8852323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11953 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (326700).

Almost surely, 28852328 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 8852328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068000).

8852328 is an abundant number, since it is smaller than the sum of its proper divisors (17283672).

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

8852328 is a wasteful number, since it uses less digits than its factorization.

8852328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 8852328 is about 2975.2862047205. The cubic root of 8852328 is about 206.8644354977.

It can be divided in two parts, 8852 and 328, that added together give a triangular number (9180 = T135).

The spelling of 8852328 in words is "eight million, eight hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 719 1026 1368 1438 1539 2052 2157 2876 3078 4104 4314 5752 6156 6471 8628 12312 12942 13661 17256 19413 25884 27322 38826 40983 51768 54644 58239 77652 81966 109288 116478 122949 155304 163932 232956 245898 327864 368847 465912 491796 737694 983592 1106541 1475388 2213082 2950776 4426164 8852328