Search a number
-
+
3955000 = 23547113
BaseRepresentation
bin1111000101100100111000
321102221020111
433011210320
52003030000
6220434104
745421420
oct17054470
97387214
103955000
1122614a5
1213a8934
13a8624a
1474d480
15531cba
hex3c5938

3955000 has 80 divisors (see below), whose sum is σ = 10684080. Its totient is φ = 1344000.

The previous prime is 3954997. The next prime is 3955001. The reversal of 3955000 is 5593.

3955000 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 not an unprimeable number, because it can be changed into a prime (3955001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34944 + ... + 35056.

It is an arithmetic number, because the mean of its divisors is an integer number (133551).

Almost surely, 23955000 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 3955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342040).

3955000 is an abundant number, since it is smaller than the sum of its proper divisors (6729080).

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

3955000 is a wasteful number, since it uses less digits than its factorization.

3955000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 3955000 is about 1988.7181801351. The cubic root of 3955000 is about 158.1425834623.

The spelling of 3955000 in words is "three million, nine hundred fifty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 125 140 175 200 226 250 280 350 452 500 565 625 700 791 875 904 1000 1130 1250 1400 1582 1750 2260 2500 2825 3164 3500 3955 4375 4520 5000 5650 6328 7000 7910 8750 11300 14125 15820 17500 19775 22600 28250 31640 35000 39550 56500 70625 79100 98875 113000 141250 158200 197750 282500 395500 494375 565000 791000 988750 1977500 3955000