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48411880729 = 61236072
BaseRepresentation
bin101101000101100100…
…101010110100011001
311121221220111100112121
4231011210222310121
51243121420140404
634123510341241
73332456124262
oct550544526431
9147856440477
1048411880729
1119593276593
12947105a821
134746a36894
1424b384d969
1513d5240e54
hexb4592ad19

48411880729 has 9 divisors (see below), whose sum is σ = 49232177631. Its totient is φ = 47605041720.

The previous prime is 48411880711. The next prime is 48411880787. The reversal of 48411880729 is 92708811484.

The square root of 48411880729 is 220027.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1574264329 + 46837616400 = 39677^2 + 216420^2 .

It is not a de Polignac number, because 48411880729 - 29 = 48411880217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48411880529) 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 8 ways as a sum of consecutive naturals, for example, 13419844 + ... + 13423450.

It is an arithmetic number, because the mean of its divisors is an integer number (5470241959).

Almost surely, 248411880729 is an apocalyptic number.

48411880729 is the 220027-th square number.

48411880729 is the 110014-th centered octagonal number.

It is an amenable number.

48411880729 is a deficient number, since it is larger than the sum of its proper divisors (820296902).

48411880729 is an frugal number, since it uses more digits than its factorization.

48411880729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 48411880729 in words is "forty-eight billion, four hundred eleven million, eight hundred eighty thousand, seven hundred twenty-nine".

Divisors: 1 61 3607 3721 220027 13010449 13421647 793637389 48411880729