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2805201152 = 28133132693
BaseRepresentation
bin1010011100110011…
…1111100100000000
321020111110222112222
42213030333210000
521221112414102
61142205110212
7126341550005
oct24714774400
97214428488
102805201152
11120a510166
12663558368
1335922b750
141c87b98ac
15116415aa2
hexa733f900

2805201152 has 72 divisors (see below), whose sum is σ = 6051683064. Its totient is φ = 1290092544.

The previous prime is 2805201109. The next prime is 2805201163. The reversal of 2805201152 is 2511025082.

It can be written as a sum of positive squares in 4 ways, for example, as 111175936 + 2694025216 = 10544^2 + 51904^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040318 + ... + 1043010.

Almost surely, 22805201152 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 2805201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025841532).

2805201152 is an abundant number, since it is smaller than the sum of its proper divisors (3246481912).

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

2805201152 is a wasteful number, since it uses less digits than its factorization.

2805201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 2805201152 is about 52964.1496863680. The cubic root of 2805201152 is about 1410.3319225950.

The spelling of 2805201152 in words is "two billion, eight hundred five million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 313 416 626 832 1252 1664 2504 2693 3328 4069 5008 5386 8138 10016 10772 16276 20032 21544 32552 35009 40064 43088 65104 70018 80128 86176 130208 140036 172352 260416 280072 344704 520832 560144 689408 842909 1041664 1120288 1685818 2240576 3371636 4481152 6743272 8962304 10957817 13486544 21915634 26973088 43831268 53946176 87662536 107892352 175325072 215784704 350650144 701300288 1402600576 2805201152