Search a number
-
+
3133400452 = 2272138271487
BaseRepresentation
bin1011101011000011…
…1110010110000100
322002101001020100121
42322300332112010
522404122303302
61234531351324
7140435315200
oct27260762604
98071036317
103133400452
1113687a5156
12735452544
133ac220a10
1421a20db00
15135144e37
hexbac3e584

3133400452 has 72 divisors (see below), whose sum is σ = 6882309504. Its totient is φ = 1237255488.

The previous prime is 3133400449. The next prime is 3133400477. The reversal of 3133400452 is 2540043313.

3133400452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2106453 + ... + 2107939.

It is an arithmetic number, because the mean of its divisors is an integer number (95587632).

Almost surely, 23133400452 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 3133400452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441154752).

3133400452 is an abundant number, since it is smaller than the sum of its proper divisors (3748909052).

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

3133400452 is a wasteful number, since it uses less digits than its factorization.

3133400452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3133400452 is about 55976.7849380437. The cubic root of 3133400452 is about 1463.3177274410.

Adding to 3133400452 its reverse (2540043313), we get a palindrome (5673443765).

The spelling of 3133400452 in words is "three billion, one hundred thirty-three million, four hundred thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 827 1274 1487 1654 2548 2974 3308 5789 5948 10409 10751 11578 19331 20818 21502 23156 38662 40523 41636 43004 72863 75257 77324 81046 135317 145726 150514 162092 270634 291452 301028 526799 541268 947219 1053598 1229749 1894438 2107196 2459498 3788876 4918996 8608243 15986737 17216486 31973474 34432972 60257701 63946948 111907159 120515402 223814318 241030804 447628636 783350113 1566700226 3133400452