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802073216 = 277895171
BaseRepresentation
bin101111110011101…
…010101010000000
32001220020112121102
4233303222222000
53120312320331
6211331113532
725606336610
oct5763525200
92056215542
10802073216
1138182752a
121a47428a8
13ca22a749
1478748a40
154a6364cb
hex2fceaa80

802073216 has 32 divisors (see below), whose sum is σ = 1826150880. Its totient is φ = 343745280.

The previous prime is 802073197. The next prime is 802073249. The reversal of 802073216 is 612370208.

It is a happy number.

802073216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446690 + ... + 448481.

It is an arithmetic number, because the mean of its divisors is an integer number (57067215).

Almost surely, 2802073216 is an apocalyptic number.

It is an amenable number.

802073216 is an abundant number, since it is smaller than the sum of its proper divisors (1024077664).

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

802073216 is an equidigital number, since it uses as much as digits as its factorization.

802073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895192 (or 895180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 802073216 is about 28320.8971609305. The cubic root of 802073216 is about 929.1189930089.

The spelling of 802073216 in words is "eight hundred two million, seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 895171 1790342 3580684 6266197 7161368 12532394 14322736 25064788 28645472 50129576 57290944 100259152 114581888 200518304 401036608 802073216