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68646624 = 253715069
BaseRepresentation
bin1000001011101…
…11011011100000
311210011121110120
410011313123200
5120033142444
610451200240
71462325634
oct405673340
9153147416
1068646624
1135827252
121aba6080
13112b6807
14918cdc4
15605eb19
hex41776e0

68646624 has 24 divisors (see below), whose sum is σ = 180197640. Its totient is φ = 22882176.

The previous prime is 68646623. The next prime is 68646631. The reversal of 68646624 is 42664686.

It is a tau number, because it is divible by the number of its divisors (24).

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 (68646623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357439 + ... + 357630.

It is an arithmetic number, because the mean of its divisors is an integer number (7508235).

Almost surely, 268646624 is an apocalyptic number.

It is an amenable number.

68646624 is an abundant number, since it is smaller than the sum of its proper divisors (111551016).

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

68646624 is a wasteful number, since it uses less digits than its factorization.

68646624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715082 (or 715074 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 68646624 is about 8285.3258234061. The cubic root of 68646624 is about 409.4552034377.

The spelling of 68646624 in words is "sixty-eight million, six hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 715069 1430138 2145207 2860276 4290414 5720552 8580828 11441104 17161656 22882208 34323312 68646624