Search a number
-
+
4425335244 = 22321128139769
BaseRepresentation
bin1000001111100010…
…10100000111001100
3102102102001022201100
410013301110013030
533030341211434
62011042143100
7214443505011
oct40761240714
912372038640
104425335244
111970a93960
12a36051a90
13556a93985
142dda31708
151ad790699
hex107c541cc

4425335244 has 72 divisors (see below), whose sum is σ = 12246932880. Its totient is φ = 1336204800.

The previous prime is 4425335237. The next prime is 4425335303.

4425335244 is nontrivially palindromic in base 10.

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 = 4425335199 and 4425335208.

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, 91392 + ... + 131160.

It is an arithmetic number, because the mean of its divisors is an integer number (170096290).

Almost surely, 24425335244 is an apocalyptic number.

4425335244 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 4425335244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123466440).

4425335244 is an abundant number, since it is smaller than the sum of its proper divisors (7821597636).

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

4425335244 is a wasteful number, since it uses less digits than its factorization.

4425335244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40071 (or 40066 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 4425335244 is about 66523.1932787355. The cubic root of 4425335244 is about 1641.7816306319.

It can be divided in two parts, 44253 and 35244, that added together give a palindrome (79497).

The spelling of 4425335244 in words is "four billion, four hundred twenty-five million, three hundred thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 281 396 562 843 1124 1686 2529 3091 3372 5058 6182 9273 10116 12364 18546 27819 37092 39769 55638 79538 111276 119307 159076 238614 357921 437459 477228 715842 874918 1312377 1431684 1749836 2624754 3937131 5249508 7874262 11175089 15748524 22350178 33525267 44700356 67050534 100575801 122925979 134101068 201151602 245851958 368777937 402303204 491703916 737555874 1106333811 1475111748 2212667622 4425335244