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5258321504 = 254138910303
BaseRepresentation
bin1001110010110101…
…11001111001100000
3111120110110102001022
410321122321321200
541232112242004
62225440025012
7244206665252
oct47132717140
914513412038
105258321504
112259204857
121029002168
1365a525b57
1437c505cd2
1520b9812be
hex1396b9e60

5258321504 has 48 divisors (see below), whose sum is σ = 10633109760. Its totient is φ = 2558192640.

The previous prime is 5258321503. The next prime is 5258321531. The reversal of 5258321504 is 4051238525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258321501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505217 + ... + 515519.

It is an arithmetic number, because the mean of its divisors is an integer number (221523120).

Almost surely, 25258321504 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 5258321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316554880).

5258321504 is an abundant number, since it is smaller than the sum of its proper divisors (5374788256).

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

5258321504 is a wasteful number, since it uses less digits than its factorization.

5258321504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 5258321504 is about 72514.2848271980. The cubic root of 5258321504 is about 1738.9311160990.

The spelling of 5258321504 in words is "five billion, two hundred fifty-eight million, three hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 389 656 778 1312 1556 3112 6224 10303 12448 15949 20606 31898 41212 63796 82424 127592 164848 255184 329696 422423 510368 844846 1689692 3379384 4007867 6758768 8015734 13517536 16031468 32062936 64125872 128251744 164322547 328645094 657290188 1314580376 2629160752 5258321504