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1808396352 = 263272173769
BaseRepresentation
bin110101111001001…
…1111000001000000
311200000211001102200
41223302133001000
512200422140402
6455240113200
762546054400
oct15362370100
94600731380
101808396352
11848879a44
12425765800
1322a86ca19
14132260800
15a8b6621c
hex6bc9f040

1808396352 has 252 divisors, whose sum is σ = 6386101020. Its totient is φ = 486162432.

The previous prime is 1808396333. The next prime is 1808396357. The reversal of 1808396352 is 2536938081.

It is a happy number.

1808396352 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 3 + 9 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1454354496 + 354041856 = 38136^2 + 18816^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1808396298 and 1808396307.

It is not an unprimeable number, because it can be changed into a prime (1808396357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477924 + ... + 481692.

Almost surely, 21808396352 is an apocalyptic number.

1808396352 is a gapful number since it is divisible by the number (12) 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 1808396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193050510).

1808396352 is an abundant number, since it is smaller than the sum of its proper divisors (4577704668).

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

1808396352 is a wasteful number, since it uses less digits than its factorization.

1808396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1808396352 is about 42525.2437030054. The cubic root of 1808396352 is about 1218.3288846308.

The spelling of 1808396352 in words is "one billion, eight hundred eight million, three hundred ninety-six thousand, three hundred fifty-two".