Search a number
-
+
4923100644 = 22371112741953
BaseRepresentation
bin1001001010111000…
…01000110111100100
3110201002200102110220
410211130020313210
540040303210034
62132303044340
7232666444050
oct44534106744
913632612426
104923100644
1120a6a64420
12b548a06b0
13605c45907
14349ba4c60
151dc316749
hex125708de4

4923100644 has 96 divisors (see below), whose sum is σ = 14434861056. Its totient is φ = 1268628480.

The previous prime is 4923100643. The next prime is 4923100667. The reversal of 4923100644 is 4460013294.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4923100643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96372 + ... + 138324.

It is an arithmetic number, because the mean of its divisors is an integer number (150363136).

Almost surely, 24923100644 is an apocalyptic number.

4923100644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4923100644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217430528).

4923100644 is an abundant number, since it is smaller than the sum of its proper divisors (9511760412).

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

4923100644 is a wasteful number, since it uses less digits than its factorization.

4923100644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42105 (or 42103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4923100644 is about 70164.8105819434. The cubic root of 4923100644 is about 1701.1642133701.

The spelling of 4923100644 in words is "four billion, nine hundred twenty-three million, one hundred thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 127 132 154 231 254 308 381 462 508 762 889 924 1397 1524 1778 2667 2794 3556 4191 5334 5588 8382 9779 10668 16764 19558 29337 39116 41953 58674 83906 117348 125859 167812 251718 293671 461483 503436 587342 881013 922966 1174684 1384449 1762026 1845932 2768898 3230381 3524052 5328031 5537796 6460762 9691143 10656062 12921524 15984093 19382286 21312124 31968186 37296217 38764572 58608341 63936372 74592434 111888651 117216682 149184868 175825023 223777302 234433364 351650046 410258387 447554604 703300092 820516774 1230775161 1641033548 2461550322 4923100644