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5258789328 = 2431356314969
BaseRepresentation
bin1001110010111001…
…01100000111010000
3111120111100011210010
410321130230013100
541232222224303
62225454034520
7244213654212
oct47134540720
914514304703
105258789328
1122594a4291
1210291a8a40
1365a65aa80
1437c5c85b2
1520ba24c03
hex13972c1d0

5258789328 has 80 divisors (see below), whose sum is σ = 14657186880. Its totient is φ = 1615107072.

The previous prime is 5258789209. The next prime is 5258789329. The reversal of 5258789328 is 8239878525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258789329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343828 + ... + 358796.

It is an arithmetic number, because the mean of its divisors is an integer number (183214836).

Almost surely, 25258789328 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 5258789328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328593440).

5258789328 is an abundant number, since it is smaller than the sum of its proper divisors (9398397552).

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

5258789328 is a wasteful number, since it uses less digits than its factorization.

5258789328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15556 (or 15550 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The square root of 5258789328 is about 72517.5104922942. The cubic root of 5258789328 is about 1738.9826844931.

The spelling of 5258789328 in words is "five billion, two hundred fifty-eight million, seven hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 563 624 1126 1689 2252 3378 4504 6756 7319 9008 13512 14638 14969 21957 27024 29276 29938 43914 44907 58552 59876 87828 89814 117104 119752 175656 179628 194597 239504 351312 359256 389194 583791 718512 778388 1167582 1556776 2335164 3113552 4670328 8427547 9340656 16855094 25282641 33710188 50565282 67420376 101130564 109558111 134840752 202261128 219116222 328674333 404522256 438232444 657348666 876464888 1314697332 1752929776 2629394664 5258789328