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68477184 = 28339907
BaseRepresentation
bin1000001010011…
…10000100000000
311202212000001000
410011032010000
5120012232214
610443412000
71461021636
oct405160400
9152760030
1068477184
1135720a16
121ab24000
1311257659
149147356
156029809
hex414e100

68477184 has 72 divisors (see below), whose sum is σ = 202519520. Its totient is φ = 22823424.

The previous prime is 68477177. The next prime is 68477191. The reversal of 68477184 is 48177486.

It is an interprime number because it is at equal distance from previous prime (68477177) and next prime (68477191).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1959 + ... + 11865.

Almost surely, 268477184 is an apocalyptic number.

68477184 is a gapful number since it is divisible by the number (64) 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 68477184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101259760).

68477184 is an abundant number, since it is smaller than the sum of its proper divisors (134042336).

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

68477184 is an equidigital number, since it uses as much as digits as its factorization.

68477184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9912 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 68477184 is about 8275.0941988596. The cubic root of 68477184 is about 409.1180407056.

The spelling of 68477184 in words is "sixty-eight million, four hundred seventy-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 9907 19814 29721 39628 59442 79256 89163 118884 158512 178326 237768 267489 317024 356652 475536 534978 634048 713304 951072 1069956 1268096 1426608 1902144 2139912 2536192 2853216 3804288 4279824 5706432 7608576 8559648 11412864 17119296 22825728 34238592 68477184