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8861664 = 253713187
BaseRepresentation
bin100001110011…
…011111100000
3121200012220210
4201303133200
54232033124
6513534120
7135215520
oct41633740
917605823
108861664
115002999
122b74340
131ab36b6
141269680
15ba0a29
hex8737e0

8861664 has 48 divisors (see below), whose sum is σ = 26587008. Its totient is φ = 2531712.

The previous prime is 8861663. The next prime is 8861683. The reversal of 8861664 is 4661688.

8861664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8861663) 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, 5922 + ... + 7265.

It is an arithmetic number, because the mean of its divisors is an integer number (553896).

Almost surely, 28861664 is an apocalyptic number.

8861664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8861664 is an abundant number, since it is smaller than the sum of its proper divisors (17725344).

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

8861664 is a wasteful number, since it uses less digits than its factorization.

8861664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13207 (or 13199 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 8861664 is about 2976.8547159712. The cubic root of 8861664 is about 206.9371323006.

The spelling of 8861664 in words is "eight million, eight hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 13187 26374 39561 52748 79122 92309 105496 158244 184618 210992 276927 316488 369236 421984 553854 632976 738472 1107708 1265952 1476944 2215416 2953888 4430832 8861664