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69385248 = 25358923
BaseRepresentation
bin1000010001010…
…11110000100000
311211120010200000
410020223300200
5120230311443
610515100000
71501523232
oct410536040
9154503600
1069385248
1136191189
121b2a1600
13114b4a7a
149302252
1561588d3
hex422bc20

69385248 has 72 divisors (see below), whose sum is σ = 204645168. Its totient is φ = 23125824.

The previous prime is 69385231. The next prime is 69385289. The reversal of 69385248 is 84258396.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3315 + ... + 12237.

It is an arithmetic number, because the mean of its divisors is an integer number (2842294).

Almost surely, 269385248 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 69385248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102322584).

69385248 is an abundant number, since it is smaller than the sum of its proper divisors (135259920).

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

69385248 is an equidigital number, since it uses as much as digits as its factorization.

69385248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8928 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 69385248 is about 8329.7807894326. The cubic root of 69385248 is about 410.9185197313.

The spelling of 69385248 in words is "sixty-nine million, three hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 8923 17846 26769 35692 53538 71384 80307 107076 142768 160614 214152 240921 285536 321228 428304 481842 642456 722763 856608 963684 1284912 1445526 1927368 2168289 2569824 2891052 3854736 4336578 5782104 7709472 8673156 11564208 17346312 23128416 34692624 69385248