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80801424 = 243211291759
BaseRepresentation
bin1001101000011…
…10111010010000
312122001010201100
410310032322100
5131141121144
612003504400
72000541444
oct464167220
9178033640
1080801424
1141679340
1223088100
13139810c2
14aa34824
157161269
hex4d0ee90

80801424 has 120 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 23627520.

The previous prime is 80801419. The next prime is 80801431. The reversal of 80801424 is 42410808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45057 + ... + 46815.

It is an arithmetic number, because the mean of its divisors is an integer number (2127840).

Almost surely, 280801424 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 80801424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

80801424 is an abundant number, since it is smaller than the sum of its proper divisors (174539376).

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

80801424 is a wasteful number, since it uses less digits than its factorization.

80801424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80801424 is about 8988.9612303091. The cubic root of 80801424 is about 432.3210062667.

It can be divided in two parts, 80801 and 424, that added together give a square (81225 = 2852).

The spelling of 80801424 in words is "eighty million, eight hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1759 1914 2088 2552 2871 3518 3828 4176 5104 5277 5742 7036 7656 10554 11484 14072 15312 15831 19349 21108 22968 28144 31662 38698 42216 45936 51011 58047 63324 77396 84432 102022 116094 126648 153033 154792 174141 204044 232188 253296 306066 309584 348282 408088 459099 464376 561121 612132 696564 816176 918198 928752 1122242 1224264 1393128 1683363 1836396 2244484 2448528 2786256 3366726 3672792 4488968 5050089 6733452 7345584 8977936 10100178 13466904 20200356 26933808 40400712 80801424