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43924750380625 = 5435327512
BaseRepresentation
bin10011111110011000001110…
…01001001010111001010001
312202112011110101011222101211
421333030013021022321101
521224130342044140000
6233230430213500121
712152313155614342
oct1177140711127121
9182464411158354
1043924750380625
1112aa5422523964
124b14ab2041641
131b6811747b8aa
14abbd7d9240c9
155128b47a37ba
hex27f30724ae51

43924750380625 has 45 divisors (see below), whose sum is σ = 55117691957559. Its totient is φ = 34993596000000.

The previous prime is 43924750380601. The next prime is 43924750380661. The reversal of 43924750380625 is 52608305742934.

It is a happy number.

The square root of 43924750380625 is 6627575.

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

43924750380625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 37031521134609 + 6893229246016 = 6085353^2 + 2625496^2 .

It is not a de Polignac number, because 43924750380625 - 235 = 43890390642257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43924750380625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58488349000 + ... + 58488349750.

Almost surely, 243924750380625 is an apocalyptic number.

43924750380625 is the 6627575-th square number.

43924750380625 is the 3313788-th centered octagonal number.

It is an amenable number.

43924750380625 is a deficient number, since it is larger than the sum of its proper divisors (11192941576934).

43924750380625 is an frugal number, since it uses more digits than its factorization.

43924750380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 58.

The spelling of 43924750380625 in words is "forty-three trillion, nine hundred twenty-four billion, seven hundred fifty million, three hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 353 625 751 1765 3755 8825 18775 44125 93875 124609 220625 265103 469375 564001 623045 1325515 2820005 3115225 6627575 14100025 15576125 33137875 70500125 77880625 93581359 165689375 199092353 352500625 467906795 995461765 2339533975 4977308825 11697669875 24886544125 58488349375 70279600609 124432720625 351398003045 1756990015225 8784950076125 43924750380625