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392245427025 = 32524329712
BaseRepresentation
bin1011011010100111010…
…01100011101101010001
31101111110020222020200100
411231103221203231101
522411304312131100
6500110044443013
740224131055354
oct5552351435521
91344406866610
10392245427025
11141394354a01
126402a249469
132acb0bc931a
1414db034429b
15a30ac2c400
hex5b53a63b51

392245427025 has 81 divisors (see below), whose sum is σ = 720015117627. Its totient is φ = 204122066400.

The previous prime is 392245427003. The next prime is 392245427027. The reversal of 392245427025 is 520724542293.

The square root of 392245427025 is 626295.

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

392245427025 is a `hidden beast` number, since 39 + 2 + 2 + 4 + 542 + 70 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141208353729 + 251037073296 = 375777^2 + 501036^2 .

It is a de Polignac number, because none of the positive numbers 2k-392245427025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (392245427027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 403959790 + ... + 403960760.

Almost surely, 2392245427025 is an apocalyptic number.

392245427025 is the 626295-th square number.

392245427025 is the 313148-th centered octagonal number.

It is an amenable number.

392245427025 is a deficient number, since it is larger than the sum of its proper divisors (327769690602).

392245427025 is an frugal number, since it uses more digits than its factorization.

392245427025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 392245427025 in words is "three hundred ninety-two billion, two hundred forty-five million, four hundred twenty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 645 971 1075 1849 1935 2913 3225 4855 5547 8739 9245 9675 14565 16641 24275 27735 41753 43695 46225 72825 83205 125259 138675 208765 218475 375777 416025 626295 942841 1043825 1795379 1878885 2828523 3131475 4714205 5386137 8485569 8976895 9394425 14142615 16158411 23571025 26930685 40542163 42427845 44884475 70713075 80792055 121626489 134653425 202710815 212139225 364879467 403960275 608132445 1013554075 1743313009 1824397335 3040662225 5229939027 8716565045 9121986675 15689817081 26149695135 43582825225 78449085405 130748475675 392245427025