Search a number
-
+
5203252440 = 2332582717477
BaseRepresentation
bin1001101100010001…
…10101010011011000
3111102121211121111100
410312020311103120
541124013034230
62220151431400
7242640626121
oct46610652330
914377747440
105203252440
112230111631
121012685560
1364bcb43c9
1437508d048
15206c04660
hex1362354d8

5203252440 has 96 divisors (see below), whose sum is σ = 16931987280. Its totient is φ = 1385776896.

The previous prime is 5203252427. The next prime is 5203252493. The reversal of 5203252440 is 442523025.

It is a happy number.

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, 288982 + ... + 306458.

Almost surely, 25203252440 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 5203252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465993640).

5203252440 is an abundant number, since it is smaller than the sum of its proper divisors (11728734840).

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

5203252440 is a wasteful number, since it uses less digits than its factorization.

5203252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18321 (or 18314 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 5203252440 is about 72133.5735978747. The cubic root of 5203252440 is about 1732.8393393386.

Adding to 5203252440 its reverse (442523025), we get a palindrome (5645775465).

The spelling of 5203252440 in words is "five billion, two hundred three million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 827 1654 2481 3308 4135 4962 6616 7443 8270 9924 12405 14886 16540 17477 19848 24810 29772 33080 34954 37215 49620 52431 59544 69908 74430 87385 99240 104862 139816 148860 157293 174770 209724 262155 297720 314586 349540 419448 524310 629172 699080 786465 1048620 1258344 1572930 2097240 3145860 6291720 14453479 28906958 43360437 57813916 72267395 86720874 115627832 130081311 144534790 173441748 216802185 260162622 289069580 346883496 433604370 520325244 578139160 650406555 867208740 1040650488 1300813110 1734417480 2601626220 5203252440