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80424900 = 2234529929
BaseRepresentation
bin1001100101100…
…10111111000100
312121100000020000
410302302333010
5131042044100
611551441300
71664412633
oct462627704
9177300200
1080424900
1141441466
1222b26230
131387b8ca
14a97751a
1570d9900
hex4cb2fc4

80424900 has 90 divisors (see below), whose sum is σ = 260732010. Its totient is φ = 21444480.

The previous prime is 80424899. The next prime is 80424913. The reversal of 80424900 is 942408.

It can be written as a sum of positive squares in 3 ways, for example, as 715716 + 79709184 = 846^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3136 + ... + 13064.

Almost surely, 280424900 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 80424900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130366005).

80424900 is an abundant number, since it is smaller than the sum of its proper divisors (180307110).

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

80424900 is a wasteful number, since it uses less digits than its factorization.

80424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80424900 is about 8967.9930865272. The cubic root of 80424900 is about 431.6484408326.

The spelling of 80424900 in words is "eighty million, four hundred twenty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 9929 19858 29787 39716 49645 59574 89361 99290 119148 148935 178722 198580 248225 268083 297870 357444 446805 496450 536166 595740 744675 804249 893610 992900 1072332 1340415 1489350 1608498 1787220 2234025 2680830 2978700 3216996 4021245 4468050 5361660 6702075 8042490 8936100 13404150 16084980 20106225 26808300 40212450 80424900