[go: up one dir, main page]

Search a number
-
+
4255653064 = 23139724349
BaseRepresentation
bin1111110110101000…
…0001110011001000
3101222120202120112011
43331222001303020
532203421344224
61542141225304
7210313311535
oct37552016310
911876676464
104255653064
111894229153
129a9262234
1352a893210
142c52a1d8c
1519d924394
hexfda81cc8

4255653064 has 48 divisors (see below), whose sum is σ = 8684644500. Its totient is φ = 1943451648.

The previous prime is 4255653049. The next prime is 4255653071. The reversal of 4255653064 is 4603565524.

It is a happy number.

4255653064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 205348900 + 4050304164 = 14330^2 + 63642^2 .

It is a super-2 number, since 2×42556530642 = 36221166002265176192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976362 + ... + 980710.

Almost surely, 24255653064 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 4255653064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342322250).

4255653064 is an abundant number, since it is smaller than the sum of its proper divisors (4428991436).

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

4255653064 is a wasteful number, since it uses less digits than its factorization.

4255653064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The square root of 4255653064 is about 65235.3666656362. The cubic root of 4255653064 is about 1620.5237680483.

The spelling of 4255653064 in words is "four billion, two hundred fifty-five million, six hundred fifty-three thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 2522 4349 5044 8698 9409 10088 17396 18818 34792 37636 56537 75272 113074 122317 226148 244634 421853 452296 489268 843706 978536 1687412 3374824 5484089 10968178 21936356 40919741 43872712 81839482 163678964 327357928 531956633 1063913266 2127826532 4255653064