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800132096 = 2102353641
BaseRepresentation
bin101111101100010…
…000110000000000
32001202120220220002
4233230100300000
53114313211341
6211221335132
725554003431
oct5754206000
92052526802
10800132096
113807210a5
121a3b674a8
13c99cb05a
14783a1488
154a3a129b
hex2fb10c00

800132096 has 88 divisors (see below), whose sum is σ = 1703169504. Its totient is φ = 374865920.

The previous prime is 800132077. The next prime is 800132101. The reversal of 800132096 is 690231008.

It is a super-2 number, since 2×8001320962 = 1280422742098706432, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1247936 + ... + 1248576.

Almost surely, 2800132096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851584752).

800132096 is an abundant number, since it is smaller than the sum of its proper divisors (903037408).

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

800132096 is a wasteful number, since it uses less digits than its factorization.

800132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 800132096 is about 28286.6063005091. The cubic root of 800132096 is about 928.3688585204.

The spelling of 800132096 in words is "eight hundred million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 256 368 424 512 641 736 848 1024 1219 1282 1472 1696 2438 2564 2944 3392 4876 5128 5888 6784 9752 10256 11776 13568 14743 19504 20512 23552 27136 29486 33973 39008 41024 54272 58972 67946 78016 82048 117944 135892 156032 164096 235888 271784 312064 328192 471776 543568 624128 656384 781379 943552 1087136 1248256 1562758 1887104 2174272 3125516 3774208 4348544 6251032 7548416 8697088 12502064 15096832 17394176 25004128 34788352 50008256 100016512 200033024 400066048 800132096