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8027264 = 27717231
BaseRepresentation
bin11110100111110010000000
3120002211100002
4132213302000
54023333024
6444015132
7125142050
oct36476200
916084302
108027264
114593003
1228314a8
13188097b
1410cd560
15a886ae
hex7a7c80

8027264 has 96 divisors (see below), whose sum is σ = 20040960. Its totient is φ = 3133440.

The previous prime is 8027251. The next prime is 8027273. The reversal of 8027264 is 4627208.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 258929 + ... + 258959.

It is an arithmetic number, because the mean of its divisors is an integer number (208760).

Almost surely, 28027264 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 8027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020480).

8027264 is an abundant number, since it is smaller than the sum of its proper divisors (12013696).

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

8027264 is a wasteful number, since it uses less digits than its factorization.

8027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 8027264 is about 2833.2426652160. The cubic root of 8027264 is about 200.2269423884.

The spelling of 8027264 in words is "eight million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 272 289 434 448 476 496 527 544 578 868 896 952 992 1054 1088 1156 1736 1904 1984 2023 2108 2176 2312 3472 3689 3808 3968 4046 4216 4624 6944 7378 7616 8092 8432 8959 9248 13888 14756 15232 16184 16864 17918 18496 27776 29512 32368 33728 35836 36992 59024 62713 64736 67456 71672 118048 125426 129472 143344 236096 250852 258944 286688 472192 501704 573376 1003408 1146752 2006816 4013632 8027264