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69393312 = 2532832903
BaseRepresentation
bin1000010001011…
…01101110100000
311211120112201200
410020231232200
5120231041222
610515201200
71501555602
oct410555640
9154515650
1069393312
113619724a
121b2a6200
13114b8641
149305172
15615aeac
hex422dba0

69393312 has 72 divisors (see below), whose sum is σ = 199783584. Its totient is φ = 22844544.

The previous prime is 69393281. The next prime is 69393329. The reversal of 69393312 is 21339396.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22453 + ... + 25355.

It is an arithmetic number, because the mean of its divisors is an integer number (2774772).

Almost surely, 269393312 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 69393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792).

69393312 is an abundant number, since it is smaller than the sum of its proper divisors (130390272).

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

69393312 is a wasteful number, since it uses less digits than its factorization.

69393312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2991 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 69393312 is about 8330.2648217209. The cubic root of 69393312 is about 410.9344381899.

The spelling of 69393312 in words is "sixty-nine million, three hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2903 2988 3984 5806 5976 7968 8709 11612 11952 17418 23224 23904 26127 34836 46448 52254 69672 92896 104508 139344 209016 240949 278688 418032 481898 722847 836064 963796 1445694 1927592 2168541 2891388 3855184 4337082 5782776 7710368 8674164 11565552 17348328 23131104 34696656 69393312