Search a number
-
+
3009282100 = 2252112248701
BaseRepresentation
bin1011001101011110…
…0000000000110100
321202201111100222121
42303113200000310
522130334011400
61214335205324
7134400322126
oct26327400064
97681440877
103009282100
111304730200
126bb976844
1338c5b43c6
14207941216
151292c921a
hexb35e0034

3009282100 has 54 divisors (see below), whose sum is σ = 7177788422. Its totient is φ = 1094280000.

The previous prime is 3009282097. The next prime is 3009282167. The reversal of 3009282100 is 12829003.

It can be written as a sum of positive squares in 3 ways, for example, as 311310736 + 2697971364 = 17644^2 + 51942^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112251 + ... + 136450.

Almost surely, 23009282100 is an apocalyptic number.

It is an amenable number.

3009282100 is an abundant number, since it is smaller than the sum of its proper divisors (4168506322).

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

3009282100 is a wasteful number, since it uses less digits than its factorization.

3009282100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248737 (or 248719 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3009282100 is about 54856.9239020928. The cubic root of 3009282100 is about 1443.7354949412.

The spelling of 3009282100 in words is "three billion, nine million, two hundred eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 248701 497402 994804 1243505 2487010 2735711 4974020 5471422 6217525 10942844 12435050 13678555 24870100 27357110 30092821 54714220 60185642 68392775 120371284 136785550 150464105 273571100 300928210 601856420 752320525 1504641050 3009282100