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48808739329 = 723728532
BaseRepresentation
bin101101011101001110…
…100100001000000001
311122222120020212012021
4231131032210020001
51244430014124304
634231124401441
73345345303400
oct553516441001
9148876225167
1048808739329
11197772962a9
129561b46281
1347ab01835c
142510437637
151409ed3a54
hexb5d3a4201

48808739329 has 27 divisors (see below), whose sum is σ = 58422004137. Its totient is φ = 40657637664.

The previous prime is 48808739327. The next prime is 48808739341. The reversal of 48808739329 is 92393780884.

The square root of 48808739329 is 220927.

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

It can be written as a sum of positive squares in 4 ways, for example, as 373532929 + 48435206400 = 19327^2 + 220080^2 .

It is not a de Polignac number, because 48808739329 - 21 = 48808739327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48808739327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57219667 + ... + 57220519.

It is an arithmetic number, because the mean of its divisors is an integer number (2163777931).

Almost surely, 248808739329 is an apocalyptic number.

48808739329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48808739329 is the 220927-th square number.

48808739329 is the 110464-th centered octagonal number.

It is an amenable number.

48808739329 is a deficient number, since it is larger than the sum of its proper divisors (9613264808).

48808739329 is an frugal number, since it uses more digits than its factorization.

48808739329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 48808739329 in words is "forty-eight billion, eight hundred eight million, seven hundred thirty-nine thousand, three hundred twenty-nine".

Divisors: 1 7 37 49 259 853 1369 1813 5971 9583 31561 41797 67081 220927 727609 1167757 1546489 5093263 8174299 26921533 35652841 57220093 188450731 996096721 1319155117 6972677047 48808739329