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816366768 = 243719127877
BaseRepresentation
bin110000101010001…
…100010010110000
32002220010201200020
4300222030102300
53132442214033
6213001323440
726142001020
oct6052142260
92086121606
10816366768
113898aa488
121a9496580
13100193679
147a5c9a80
154ba0b6b3
hex30a8c4b0

816366768 has 80 divisors (see below), whose sum is σ = 2537099520. Its totient is φ = 220969728.

The previous prime is 816366763. The next prime is 816366769. The reversal of 816366768 is 867663618.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 816366768.

It is not an unprimeable number, because it can be changed into a prime (816366763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57555 + ... + 70322.

It is an arithmetic number, because the mean of its divisors is an integer number (31713744).

Almost surely, 2816366768 is an apocalyptic number.

It is an amenable number.

816366768 is an abundant number, since it is smaller than the sum of its proper divisors (1720732752).

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

816366768 is a wasteful number, since it uses less digits than its factorization.

816366768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127914 (or 127908 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 816366768 is about 28572.1327170374. The cubic root of 816366768 is about 934.6057296564.

The spelling of 816366768 in words is "eight hundred sixteen million, three hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 127877 255754 383631 511508 767262 895139 1023016 1534524 1790278 2046032 2429663 2685417 3069048 3580556 4859326 5370834 6138096 7161112 7288989 9718652 10741668 14322224 14577978 17007641 19437304 21483336 29155956 34015282 38874608 42966672 51022923 58311912 68030564 102045846 116623824 136061128 204091692 272122256 408183384 816366768