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8138864 = 243161269
BaseRepresentation
bin11111000011000001110000
3120022111102102
4133003001300
54040420424
6450235532
7126115316
oct37030160
916274372
108138864
114659938
122885ba8
1318bc6c6
14111c0b6
15aab7ae
hex7c3070

8138864 has 40 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 3859200.

The previous prime is 8138863. The next prime is 8138881. The reversal of 8138864 is 4688318.

It is a super-2 number, since 2×81388642 = 132482214420992, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30122 + ... + 30390.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 28138864 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 8138864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

8138864 is an abundant number, since it is smaller than the sum of its proper divisors (8467216).

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

8138864 is a wasteful number, since it uses less digits than its factorization.

8138864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 8138864 is about 2852.8694326940. The cubic root of 8138864 is about 201.1505682705.

The spelling of 8138864 in words is "eight million, one hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 269 488 496 538 976 1076 1891 2152 3782 4304 7564 8339 15128 16409 16678 30256 32818 33356 65636 66712 131272 133424 262544 508679 1017358 2034716 4069432 8138864