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2052806328 = 233410393049
BaseRepresentation
bin111101001011011…
…0101011010111000
312022001201100220000
41322112311122320
513201004300303
6535410433000
7101604365046
oct17226653270
95261640800
102052806328
11963834861
12493592760
132693a5c01
141568c3396
15c0343da3
hex7a5b56b8

2052806328 has 80 divisors (see below), whose sum is σ = 5757180000. Its totient is φ = 683385984.

The previous prime is 2052806323. The next prime is 2052806333. The reversal of 2052806328 is 8236082502.

It is an interprime number because it is at equal distance from previous prime (2052806323) and next prime (2052806333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2052806292 and 2052806301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052806323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 671748 + ... + 674796.

It is an arithmetic number, because the mean of its divisors is an integer number (71964750).

Almost surely, 22052806328 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 2052806328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878590000).

2052806328 is an abundant number, since it is smaller than the sum of its proper divisors (3704373672).

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

2052806328 is a wasteful number, since it uses less digits than its factorization.

2052806328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2052806328 is about 45307.9058002022. The cubic root of 2052806328 is about 1270.9134990528.

The spelling of 2052806328 in words is "two billion, fifty-two million, eight hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1039 2078 3049 3117 4156 6098 6234 8312 9147 9351 12196 12468 18294 18702 24392 24936 27441 28053 36588 37404 54882 56106 73176 74808 82323 84159 109764 112212 164646 168318 219528 224424 246969 329292 336636 493938 658584 673272 987876 1975752 3167911 6335822 9503733 12671644 19007466 25343288 28511199 38014932 57022398 76029864 85533597 114044796 171067194 228089592 256600791 342134388 513201582 684268776 1026403164 2052806328