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8532264 = 23313232941
BaseRepresentation
bin100000100011…
…000100101000
3121001111001210
4200203010220
54141013024
6502513120
7132344256
oct40430450
917044053
108532264
1148a8464
122a357a0
1319c97a0
1411c15d6
15b38129
hex823128

8532264 has 128 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2365440.

The previous prime is 8532259. The next prime is 8532269. The reversal of 8532264 is 4622358.

It is an interprime number because it is at equal distance from previous prime (8532259) and next prime (8532269).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8532269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208084 + ... + 208124.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 28532264 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 8532264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

8532264 is an abundant number, since it is smaller than the sum of its proper divisors (16869336).

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

8532264 is a wasteful number, since it uses less digits than its factorization.

8532264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 8532264 is about 2921.0039370052. The cubic root of 8532264 is about 204.3406457794.

The spelling of 8532264 in words is "eight million, five hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 29 39 41 46 52 58 69 78 82 87 92 104 116 123 138 156 164 174 184 232 246 276 299 312 328 348 377 492 533 552 598 667 696 754 897 943 984 1066 1131 1189 1196 1334 1508 1599 1794 1886 2001 2132 2262 2378 2392 2668 2829 3016 3198 3567 3588 3772 4002 4264 4524 4756 5336 5658 6396 7134 7176 7544 8004 8671 9048 9512 11316 12259 12792 14268 15457 16008 17342 22632 24518 26013 27347 28536 30914 34684 36777 46371 49036 52026 54694 61828 69368 73554 82041 92742 98072 104052 109388 123656 147108 164082 185484 208104 218776 294216 328164 355511 370968 656328 711022 1066533 1422044 2133066 2844088 4266132 8532264