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80026820 = 22517534441
BaseRepresentation
bin1001100010100…
…01110011000100
312120120210011022
410301101303010
5130441324240
611535130312
71661134226
oct461216304
9176523138
1080026820
114119a375
1222973998
131376c663
14a8b2416
15705b9b5
hex4c51cc4

80026820 has 48 divisors (see below), whose sum is σ = 181340208. Its totient is φ = 29552640.

The previous prime is 80026811. The next prime is 80026883. The reversal of 80026820 is 2862008.

It can be written as a sum of positive squares in 8 ways, for example, as 1420864 + 78605956 = 1192^2 + 8866^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80026820.

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 15 ways as a sum of consecutive naturals, for example, 15800 + ... + 20240.

It is an arithmetic number, because the mean of its divisors is an integer number (3777921).

Almost surely, 280026820 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 80026820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90670104).

80026820 is an abundant number, since it is smaller than the sum of its proper divisors (101313388).

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

80026820 is a wasteful number, since it uses less digits than its factorization.

80026820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 80026820 is about 8945.7710679404. The cubic root of 80026820 is about 430.9350842418.

Adding to 80026820 its reverse (2862008), we get a palindrome (82888828).

The spelling of 80026820 in words is "eighty million, twenty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4441 4505 8882 9010 17764 18020 22205 44410 75497 88820 150994 235373 301988 377485 470746 754970 941492 1176865 1509940 2353730 4001341 4707460 8002682 16005364 20006705 40013410 80026820