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802000000 = 2756401
BaseRepresentation
bin101111110011011…
…000110010000000
32001220002211011201
4233303120302000
53120303000000
6211325350544
725605613264
oct5763306200
92056084151
10802000000
1138178751a
121a4708454
13ca203319
147872a0a4
154a61e96a
hex2fcd8c80

802000000 has 112 divisors (see below), whose sum is σ = 2002122810. Its totient is φ = 320000000.

The previous prime is 801999971. The next prime is 802000019. The reversal of 802000000 is 208.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 168169024 + 633830976 = 12968^2 + 25176^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999800 + ... + 2000200.

Almost surely, 2802000000 is an apocalyptic number.

802000000 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 802000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001061405).

802000000 is an abundant number, since it is smaller than the sum of its proper divisors (1200122810).

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

802000000 is an frugal number, since it uses more digits than its factorization.

802000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 802000000 is about 28319.6045170126. The cubic root of 802000000 is about 929.0907210903.

Adding to 802000000 its reverse (208), we get a palindrome (802000208).

The spelling of 802000000 in words is "eight hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 401 500 625 640 800 802 1000 1250 1600 1604 2000 2005 2500 3125 3200 3208 4000 4010 5000 6250 6416 8000 8020 10000 10025 12500 12832 15625 16000 16040 20000 20050 25000 25664 31250 32080 40000 40100 50000 50125 51328 62500 64160 80000 80200 100000 100250 125000 128320 160400 200000 200500 250000 250625 256640 320800 400000 401000 500000 501250 641600 802000 1000000 1002500 1253125 1283200 1604000 2000000 2005000 2506250 3208000 4010000 5012500 6265625 6416000 8020000 10025000 12531250 16040000 20050000 25062500 32080000 40100000 50125000 80200000 100250000 160400000 200500000 401000000 802000000