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48754848025 = 52132432792
BaseRepresentation
bin101101011010000000…
…111111000100011001
311122211210211220020001
4231122000333010121
51244322220114100
634221521333001
73344122241032
oct553200770431
9148753756201
1048754848025
1119749927a34
129547a97161
13479cac9a00
142507209a89
1514053dad6a
hexb5a03f119

48754848025 has 81 divisors (see below), whose sum is σ = 67881149469. Its totient is φ = 34721144640.

The previous prime is 48754848013. The next prime is 48754848041. The reversal of 48754848025 is 52084845784.

The square root of 48754848025 is 220805.

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 12566634201 + 36188213824 = 112101^2 + 190232^2 .

It is not a de Polignac number, because 48754848025 - 29 = 48754847513 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 617149936 + ... + 617150014.

Almost surely, 248754848025 is an apocalyptic number.

48754848025 is the 220805-th square number.

48754848025 is the 110403-rd centered octagonal number.

It is an amenable number.

48754848025 is a deficient number, since it is larger than the sum of its proper divisors (19126301444).

48754848025 is an equidigital number, since it uses as much as digits as its factorization.

48754848025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 55.

The spelling of 48754848025 in words is "forty-eight billion, seven hundred fifty-four million, eight hundred forty-eight thousand, twenty-five".

Divisors: 1 5 13 25 43 65 79 169 215 325 395 559 845 1027 1075 1849 1975 2795 3397 4225 5135 6241 7267 9245 13351 13975 16985 24037 25675 31205 36335 44161 46225 66755 81133 84925 120185 146071 156025 181675 220805 268363 312481 333775 405665 574093 600925 730355 1054729 1104025 1341815 1562405 1898923 2028325 2870465 3488719 3651775 5273645 6709075 7812025 9494615 11539609 14352325 17443595 24685999 26368225 45353347 47473075 57698045 87217975 123429995 150014917 226766735 288490225 617149975 750074585 1133833675 1950193921 3750372925 9750969605 48754848025