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802021416 = 233722332927
BaseRepresentation
bin101111110011011…
…110000000101000
32001220010220112220
4233303132000220
53120304141131
6211330034040
725606032600
oct5763360050
92056126486
10802021416
113817a1619
121a4718920
13ca20ccb1
1478733c00
154a625e96
hex2fcde028

802021416 has 96 divisors (see below), whose sum is σ = 2343219840. Its totient is φ = 228087552.

The previous prime is 802021411. The next prime is 802021421. The reversal of 802021416 is 614120208.

802021416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (802021411) and next prime (802021421).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (802021411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272545 + ... + 275471.

It is an arithmetic number, because the mean of its divisors is an integer number (24408540).

Almost surely, 2802021416 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 802021416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171609920).

802021416 is an abundant number, since it is smaller than the sum of its proper divisors (1541198424).

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

802021416 is a wasteful number, since it uses less digits than its factorization.

802021416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 802021416 is about 28319.9826271133. The cubic root of 802021416 is about 929.0989909281.

It can be divided in two parts, 80202 and 1416, that added together give a palindrome (81618).

The spelling of 802021416 in words is "eight hundred two million, twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 233 294 392 466 588 699 932 1176 1398 1631 1864 2796 2927 3262 4893 5592 5854 6524 8781 9786 11417 11708 13048 17562 19572 20489 22834 23416 34251 35124 39144 40978 45668 61467 68502 70248 81956 91336 122934 137004 143423 163912 245868 274008 286846 430269 491736 573692 681991 860538 1147384 1363982 1721076 2045973 2727964 3442152 4091946 4773937 5455928 8183892 9547874 14321811 16367784 19095748 28643622 33417559 38191496 57287244 66835118 100252677 114574488 133670236 200505354 267340472 401010708 802021416