Search a number
-
+
4998248532 = 2238227839
BaseRepresentation
bin1001010011110101…
…10011100001010100
3110220100002100000000
410221322303201110
540214022423112
62143545451300
7234601261104
oct45172634124
913810070000
104998248532
112135421112
12b75aa0b30
13618697614
14355b67204
151e3c0c7dc
hex129eb3854

4998248532 has 108 divisors (see below), whose sum is σ = 13193238240. Its totient is φ = 1656766224.

The previous prime is 4998248531. The next prime is 4998248587. The reversal of 4998248532 is 2358428994.

4998248532 is a `hidden beast` number, since 49 + 98 + 2 + 485 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4998248531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5956969 + ... + 5957807.

Almost surely, 24998248532 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 4998248532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596619120).

4998248532 is an abundant number, since it is smaller than the sum of its proper divisors (8194989708).

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

4998248532 is an equidigital number, since it uses as much as digits as its factorization.

4998248532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1071 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4998248532 is about 70698.2922848919. The cubic root of 4998248532 is about 1709.7762588150.

The spelling of 4998248532 in words is "four billion, nine hundred ninety-eight million, two hundred forty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 243 324 454 486 681 729 839 908 972 1362 1458 1678 2043 2187 2517 2724 2916 3356 4086 4374 5034 6129 6561 7551 8172 8748 10068 12258 13122 15102 18387 22653 24516 26244 30204 36774 45306 55161 67959 73548 90612 110322 135918 165483 190453 203877 220644 271836 330966 380906 407754 496449 571359 611631 661932 761812 815508 992898 1142718 1223262 1489347 1714077 1834893 1985796 2285436 2446524 2978694 3428154 3669786 5142231 5504679 5957388 6856308 7339572 10284462 11009358 15426693 20568924 22018716 30853386 46280079 61706772 92560158 138840237 185120316 277680474 416520711 555360948 833041422 1249562133 1666082844 2499124266 4998248532