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8381696 = 28291129
BaseRepresentation
bin11111111110010100000000
3120202211112012
4133332110000
54121203241
6455352052
7131146301
oct37762400
916684465
108381696
114805324
122982628
1319760ab
1411827a8
15b086eb
hex7fe500

8381696 has 36 divisors (see below), whose sum is σ = 17322900. Its totient is φ = 4042752.

The previous prime is 8381693. The next prime is 8381699. The reversal of 8381696 is 6961838.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8381693) and next prime (8381699).

It can be written as a sum of positive squares in 2 ways, for example, as 2310400 + 6071296 = 1520^2 + 2464^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8381693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6860 + ... + 7988.

Almost surely, 28381696 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 8381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661450).

8381696 is an abundant number, since it is smaller than the sum of its proper divisors (8941204).

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

8381696 is a wasteful number, since it uses less digits than its factorization.

8381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1160 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 8381696 is about 2895.1158871451. The cubic root of 8381696 is about 203.1315122488.

The spelling of 8381696 in words is "eight million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1129 1856 2258 3712 4516 7424 9032 18064 32741 36128 65482 72256 130964 144512 261928 289024 523856 1047712 2095424 4190848 8381696