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8000000800 = 255211909091
BaseRepresentation
bin1110111001101011…
…00101001100100000
3202122112102010222221
413130311211030200
5112341000011200
63401455440424
7402150612331
oct73465451440
922575363887
108000000800
113435879010
121673226114
139a65435ac
1455c6a8288
1531c4ea91a
hex1dcd65320

8000000800 has 72 divisors (see below), whose sum is σ = 21305480112. Its totient is φ = 2909088000.

The previous prime is 8000000797. The next prime is 8000000809. The reversal of 8000000800 is 80000008.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (8000000809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445746 + ... + 463345.

It is an arithmetic number, because the mean of its divisors is an integer number (295909446).

Almost surely, 28000000800 is an apocalyptic number.

8000000800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8000000800 is an abundant number, since it is smaller than the sum of its proper divisors (13305479312).

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

8000000800 is a wasteful number, since it uses less digits than its factorization.

8000000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909122 (or 909109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8000000800 is about 89442.7235721274. The cubic root of 8000000800 is about 2000.0000666667. Note that the first 4 decimals are identical.

Adding to 8000000800 its reverse (80000008), we get a palindrome (8080000808).

8000000800 divided by its reverse (80000008) gives a square (100 = 102).

It can be divided in two parts, 8000000 and 800, that multiplied together give a square (6400000000 = 800002).

The spelling of 8000000800 in words is "eight billion, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 909091 1818182 3636364 4545455 7272728 9090910 10000001 14545456 18181820 20000002 22727275 29090912 36363640 40000004 45454550 50000005 72727280 80000008 90909100 100000010 145454560 160000016 181818200 200000020 250000025 320000032 363636400 400000040 500000050 727272800 800000080 1000000100 1600000160 2000000200 4000000400 8000000800