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8102052 = 2233721531
BaseRepresentation
bin11110111010000010100100
3120020121221000
4132322002210
54033231202
6445353300
7125603100
oct36720244
916217830
108102052
114634212
122868830
1318a8a1a
14110c900
15aa091c
hex7ba0a4

8102052 has 72 divisors (see below), whose sum is σ = 24450720. Its totient is φ = 2313360.

The previous prime is 8102041. The next prime is 8102053. The reversal of 8102052 is 2502018.

It is a super-2 number, since 2×81020522 = 131286493221408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8102053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4527 + ... + 6057.

Almost surely, 28102052 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 8102052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225360).

8102052 is an abundant number, since it is smaller than the sum of its proper divisors (16348668).

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

8102052 is a wasteful number, since it uses less digits than its factorization.

8102052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8102052 is about 2846.4103709760. The cubic root of 8102052 is about 200.8468425608.

The spelling of 8102052 in words is "eight million, one hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1531 1764 2646 3062 4593 5292 6124 9186 10717 13779 18372 21434 27558 32151 41337 42868 55116 64302 75019 82674 96453 128604 150038 165348 192906 225057 289359 300076 385812 450114 578718 675171 900228 1157436 1350342 2025513 2700684 4051026 8102052