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4082435700 = 2235273752541
BaseRepresentation
bin1111001101010101…
…0000011001110100
3101112111211012222020
43303111100121310
531330100420300
61513032433140
7203111062620
oct36325203164
911474735866
104082435700
111805479402
1295b2487b0
13500a25635
142aa292180
1518d60a8a0
hexf3550674

4082435700 has 144 divisors (see below), whose sum is σ = 13864362624. Its totient is φ = 907891200.

The previous prime is 4082435659. The next prime is 4082435711. The reversal of 4082435700 is 75342804.

4082435700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51430 + ... + 103970.

It is an arithmetic number, because the mean of its divisors is an integer number (96280296).

Almost surely, 24082435700 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 4082435700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932181312).

4082435700 is an abundant number, since it is smaller than the sum of its proper divisors (9781926924).

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

4082435700 is a wasteful number, since it uses less digits than its factorization.

4082435700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52602 (or 52595 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4082435700 is about 63893.9410272993. The cubic root of 4082435700 is about 1598.2318618787.

The spelling of 4082435700 in words is "four billion, eighty-two million, four hundred thirty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 38850 52541 77700 105082 157623 210164 262705 315246 367787 525410 630492 735574 788115 1050820 1103361 1313525 1471148 1576230 1838935 1944017 2206722 2627050 3152460 3677870 3888034 3940575 4413444 5254100 5516805 5832051 7355740 7776068 7881150 9194675 9720085 11033610 11664102 13608119 15762300 18389350 19440170 22067220 23328204 27216238 27584025 29160255 36778700 38880340 40824357 48600425 54432476 55168050 58320510 68040595 81648714 97200850 110336100 116641020 136081190 145801275 163297428 194401700 204121785 272162380 291602550 340202975 408243570 583205100 680405950 816487140 1020608925 1360811900 2041217850 4082435700