Search a number
-
+
4156152444 = 22354399439
BaseRepresentation
bin1111011110111001…
…1101101001111100
3101201122112102100000
43313232131221330
532002433334234
61524224434300
7204664466343
oct36756355174
911648472300
104156152444
111843048934
1297ba78990
13513095b02
142b5da0b5a
15194d1c899
hexf7b9da7c

4156152444 has 72 divisors (see below), whose sum is σ = 11148417280. Its totient is φ = 1353152304.

The previous prime is 4156152431. The next prime is 4156152521. The reversal of 4156152444 is 4442516514.

4156152444 is a `hidden beast` number, since 4 + 1 + 561 + 52 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4156152399 and 4156152408.

It is a congruent number.

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, 7924 + ... + 91515.

Almost surely, 24156152444 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 4156152444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574208640).

4156152444 is an abundant number, since it is smaller than the sum of its proper divisors (6992264836).

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

4156152444 is a wasteful number, since it uses less digits than its factorization.

4156152444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99501 (or 99487 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 4156152444 is about 64468.2281748149. The cubic root of 4156152444 is about 1607.7943182008.

Adding to 4156152444 its reverse (4442516514), we get a palindrome (8598668958).

The spelling of 4156152444 in words is "four billion, one hundred fifty-six million, one hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 2322 3483 4644 6966 10449 13932 20898 41796 99439 198878 298317 397756 596634 894951 1193268 1789902 2684853 3579804 4275877 5369706 8054559 8551754 10739412 12827631 16109118 17103508 24163677 25655262 32218236 38482893 48327354 51310524 76965786 96654708 115448679 153931572 230897358 346346037 461794716 692692074 1039038111 1385384148 2078076222 4156152444