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5260398624 = 2532132948449
BaseRepresentation
bin1001110011000101…
…10101000000100000
3111120121100221022200
410321202311000200
541233130223444
62225552333200
7244233436065
oct47142650040
914517327280
105260398624
11225a3a3388
121029844200
1365aaa2410
1437c8c6c6c
1520bc41969
hex1398b5020

5260398624 has 144 divisors (see below), whose sum is σ = 16665831000. Its totient is φ = 1562738688.

The previous prime is 5260398581. The next prime is 5260398677. The reversal of 5260398624 is 4268930625.

It can be written as a sum of positive squares in 4 ways, for example, as 5021139600 + 239259024 = 70860^2 + 15468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5260398624.

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, 84352 + ... + 132800.

Almost surely, 25260398624 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 5260398624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332915500).

5260398624 is an abundant number, since it is smaller than the sum of its proper divisors (11405432376).

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

5260398624 is a wasteful number, since it uses less digits than its factorization.

5260398624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48507 (or 48496 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5260398624 is about 72528.6055567043. The cubic root of 5260398624 is about 1739.1600543706.

The spelling of 5260398624 in words is "five billion, two hundred sixty million, three hundred ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 522 624 696 754 928 936 1044 1131 1248 1392 1508 1872 2088 2262 2784 3016 3393 3744 4176 4524 6032 6786 8352 9048 12064 13572 18096 27144 36192 48449 54288 96898 108576 145347 193796 290694 387592 436041 581388 629837 775184 872082 1162776 1259674 1405021 1550368 1744164 1889511 2325552 2519348 2810042 3488328 3779022 4215063 4651104 5038696 5620084 5668533 6976656 7558044 8430126 10077392 11240168 11337066 12645189 13953312 15116088 16860252 18265273 20154784 22480336 22674132 25290378 30232176 33720504 36530546 44960672 45348264 50580756 54795819 60464352 67441008 73061092 90696528 101161512 109591638 134882016 146122184 164387457 181393056 202323024 219183276 292244368 328774914 404646048 438366552 584488736 657549828 876733104 1315099656 1753466208 2630199312 5260398624