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80470800 = 2433527451
BaseRepresentation
bin1001100101111…
…10001100010000
312121102100012000
410302332030100
5131100031200
611552434000
71664663514
oct462761420
9177370160
1080470800
11414729a3
1222b48900
1313896777
14a98a144
1570e8300
hex4cbe310

80470800 has 120 divisors (see below), whose sum is σ = 286454880. Its totient is φ = 21456000.

The previous prime is 80470781. The next prime is 80470837. The reversal of 80470800 is 807408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 7075 + ... + 14525.

It is an arithmetic number, because the mean of its divisors is an integer number (2387124).

Almost surely, 280470800 is an apocalyptic number.

80470800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143227440).

80470800 is an abundant number, since it is smaller than the sum of its proper divisors (205984080).

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

80470800 is a wasteful number, since it uses less digits than its factorization.

80470800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80470800 is about 8970.5518224912. The cubic root of 80470800 is about 431.7305418381.

The spelling of 80470800 in words is "eighty million, four hundred seventy thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 7451 10800 14902 22353 29804 37255 44706 59608 67059 74510 89412 111765 119216 134118 149020 178824 186275 201177 223530 268236 298040 335295 357648 372550 402354 447060 536472 558825 596080 670590 745100 804708 894120 1005885 1072944 1117650 1341180 1490200 1609416 1676475 1788240 2011770 2235300 2682360 2980400 3218832 3352950 4023540 4470600 5029425 5364720 6705900 8047080 8941200 10058850 13411800 16094160 20117700 26823600 40235400 80470800