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69942816 = 25322310559
BaseRepresentation
bin1000010101100…
…11111000100000
311212121110111200
410022303320200
5120401132231
610535041200
71506334626
oct412637040
9155543450
1069942816
1136532089
121b510200
131164b7a8
149409516
156218be6
hex42b3e20

69942816 has 72 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 22298496.

The previous prime is 69942791. The next prime is 69942823. The reversal of 69942816 is 61824996.

It is a happy number.

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

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

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 11 ways as a sum of consecutive naturals, for example, 1345 + ... + 11903.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 269942816 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 69942816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

69942816 is an abundant number, since it is smaller than the sum of its proper divisors (137624544).

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

69942816 is a wasteful number, since it uses less digits than its factorization.

69942816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10587 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 69942816 is about 8363.1821694855. The cubic root of 69942816 is about 412.0162748465.

The spelling of 69942816 in words is "sixty-nine million, nine hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 10559 21118 31677 42236 63354 84472 95031 126708 168944 190062 242857 253416 337888 380124 485714 506832 728571 760248 971428 1013664 1457142 1520496 1942856 2185713 2914284 3040992 3885712 4371426 5828568 7771424 8742852 11657136 17485704 23314272 34971408 69942816