[go: up one dir, main page]

Search a number
-
+
3955728 = 243761193
BaseRepresentation
bin1111000101110000010000
321102222020110
433011300100
52003040403
6220441320
745423510
oct17056020
97388213
103955728
112261aa7
1213a9240
13a8668a
1474d840
15532103
hex3c5c10

3955728 has 80 divisors (see below), whose sum is σ = 11931776. Its totient is φ = 1105920.

The previous prime is 3955727. The next prime is 3955733. The reversal of 3955728 is 8275593.

3955728 is nontrivially palindromic in base 13.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3955723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20400 + ... + 20592.

Almost surely, 23955728 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 3955728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965888).

3955728 is an abundant number, since it is smaller than the sum of its proper divisors (7976048).

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

3955728 is a wasteful number, since it uses less digits than its factorization.

3955728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 3955728 is about 1988.9012041829. The cubic root of 3955728 is about 158.1522860108.

The spelling of 3955728 in words is "three million, nine hundred fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 193 244 336 366 386 427 488 579 732 772 854 976 1158 1281 1351 1464 1544 1708 2316 2562 2702 2928 3088 3416 4053 4632 5124 5404 6832 8106 9264 10248 10808 11773 16212 20496 21616 23546 32424 35319 47092 64848 70638 82411 94184 141276 164822 188368 247233 282552 329644 494466 565104 659288 988932 1318576 1977864 3955728