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188384896 = 277533967
BaseRepresentation
bin10110011101010…
…00011010000000
3111010110221111101
423032220122000
5341211304041
630405424144
74445150050
oct1316503200
9433427441
10188384896
119737a3a7
125310b054
133004b56b
141b03b560
1511812b31
hexb3a8680

188384896 has 64 divisors (see below), whose sum is σ = 437114880. Its totient is φ = 79193088.

The previous prime is 188384879. The next prime is 188384909. The reversal of 188384896 is 698483881.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 45505 + ... + 49471.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2188384896 is an apocalyptic number.

188384896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

188384896 is an abundant number, since it is smaller than the sum of its proper divisors (248729984).

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

188384896 is an equidigital number, since it uses as much as digits as its factorization.

188384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4029 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 55.

The square root of 188384896 is about 13725.3377371925. The cubic root of 188384896 is about 573.2561112267.

It can be divided in two parts, 188384 and 896, that multiplied together give a square (168792064 = 129922).

The spelling of 188384896 in words is "one hundred eighty-eight million, three hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 3967 5936 6784 7934 11872 15868 23744 27769 31736 47488 55538 63472 111076 126944 210251 222152 253888 420502 444304 507776 841004 888608 1471757 1682008 1777216 2943514 3364016 3554432 5887028 6728032 11774056 13456064 23548112 26912128 47096224 94192448 188384896