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80248000 = 265371433
BaseRepresentation
bin1001100100001…
…11110011000000
312121000000120011
410302013303000
5131020414000
611543554304
71663045120
oct462076300
9177000504
1080248000
1141330568
1222a5b994
1313819231
14a92cc80
1570a22ba
hex4c87cc0

80248000 has 112 divisors (see below), whose sum is σ = 227283264. Its totient is φ = 27494400.

The previous prime is 80247991. The next prime is 80248031. The reversal of 80248000 is 84208.

It is a tau number, because it is divible by the number of its divisors (112).

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, 55284 + ... + 56716.

Almost surely, 280248000 is an apocalyptic number.

80248000 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 80248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113641632).

80248000 is an abundant number, since it is smaller than the sum of its proper divisors (147035264).

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

80248000 is a wasteful number, since it uses less digits than its factorization.

80248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 80248000 is about 8958.1248037745. The cubic root of 80248000 is about 431.3317285416.

The spelling of 80248000 in words is "eighty million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1433 1600 1750 2000 2240 2800 2866 3500 4000 5600 5732 7000 7165 8000 10031 11200 11464 14000 14330 20062 22928 28000 28660 35825 40124 45856 50155 56000 57320 71650 80248 91712 100310 114640 143300 160496 179125 200620 229280 250775 286600 320992 358250 401240 458560 501550 573200 641984 716500 802480 1003100 1146400 1253875 1433000 1604960 2006200 2292800 2507750 2866000 3209920 4012400 5015500 5732000 8024800 10031000 11464000 16049600 20062000 40124000 80248000