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8055328000 = 28531391811
BaseRepresentation
bin1111000000010001…
…01000110100000000
3202210101112001122111
413200020220310000
5112444130444000
63411153345104
7403422105166
oct74010506400
922711461574
108055328000
113464028175
121689868194
139b4b45695
14565b8b236
153222c8cba
hex1e0228d00

8055328000 has 144 divisors (see below), whose sum is σ = 20222354880. Its totient is φ = 3197184000.

The previous prime is 8055327947. The next prime is 8055328009. The reversal of 8055328000 is 8235508.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8055328009) 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, 4447095 + ... + 4448905.

It is an arithmetic number, because the mean of its divisors is an integer number (140433020).

Almost surely, 28055328000 is an apocalyptic number.

8055328000 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 8055328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111177440).

8055328000 is an abundant number, since it is smaller than the sum of its proper divisors (12167026880).

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

8055328000 is a wasteful number, since it uses less digits than its factorization.

8055328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 8055328000 is about 89751.4790964472. The cubic root of 8055328000 is about 2004.6000781952.

The spelling of 8055328000 in words is "eight billion, fifty-five million, three hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 139 160 200 250 256 278 320 400 500 556 640 695 800 1000 1112 1280 1390 1600 1811 2000 2224 2780 3200 3475 3622 4000 4448 5560 6400 6950 7244 8000 8896 9055 11120 13900 14488 16000 17375 17792 18110 22240 27800 28976 32000 34750 35584 36220 44480 45275 55600 57952 69500 72440 88960 90550 111200 115904 139000 144880 177920 181100 222400 226375 231808 251729 278000 289760 362200 444800 452750 463616 503458 556000 579520 724400 889600 905500 1006916 1112000 1159040 1258645 1448800 1811000 2013832 2224000 2318080 2517290 2897600 3622000 4027664 4448000 5034580 5795200 6293225 7244000 8055328 10069160 11590400 12586450 14488000 16110656 20138320 25172900 28976000 31466125 32221312 40276640 50345800 57952000 62932250 64442624 80553280 100691600 125864500 161106560 201383200 251729000 322213120 402766400 503458000 805532800 1006916000 1611065600 2013832000 4027664000 8055328000