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80848000 = 275331163
BaseRepresentation
bin1001101000110…
…10010010000000
312122010111121101
410310122102000
5131144114000
612004504144
72001124312
oct464322200
9178114541
1080848000
1141700332
12230ab054
131399936c
14aa477b2
15716ee6a
hex4d1a480

80848000 has 128 divisors (see below), whose sum is σ = 208765440. Its totient is φ = 31104000.

The previous prime is 80847989. The next prime is 80848007. The reversal of 80848000 is 84808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 80848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80848007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495919 + ... + 496081.

It is an arithmetic number, because the mean of its divisors is an integer number (1630980).

Almost surely, 280848000 is an apocalyptic number.

80848000 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 80848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104382720).

80848000 is an abundant number, since it is smaller than the sum of its proper divisors (127917440).

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

80848000 is a wasteful number, since it uses less digits than its factorization.

80848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 80848000 is about 8991.5515902429. The cubic root of 80848000 is about 432.4040572598.

The spelling of 80848000 in words is "eighty million, eight hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 163 200 248 250 310 320 326 400 496 500 620 640 652 775 800 815 992 1000 1240 1304 1550 1600 1630 1984 2000 2480 2608 3100 3200 3260 3875 3968 4000 4075 4960 5053 5216 6200 6520 7750 8000 8150 9920 10106 10432 12400 13040 15500 16000 16300 19840 20212 20375 20864 24800 25265 26080 31000 32600 40424 40750 49600 50530 52160 62000 65200 80848 81500 99200 101060 104320 124000 126325 130400 161696 163000 202120 248000 252650 260800 323392 326000 404240 496000 505300 521600 631625 646784 652000 808480 1010600 1263250 1304000 1616960 2021200 2526500 2608000 3233920 4042400 5053000 8084800 10106000 16169600 20212000 40424000 80848000