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4078738225 = 525322412
BaseRepresentation
bin1111001100011100…
…1001101100110001
3101112020212100222201
43303013021230301
531323124110400
61512421303201
7203034463042
oct36307115461
911466770881
104078738225
111803383441
12959b64b01
1350002c693
142a99ac8c9
1518d12a06a
hexf31c9b31

4078738225 has 27 divisors (see below), whose sum is σ = 5176341219. Its totient is φ = 3188140800.

The previous prime is 4078738199. The next prime is 4078738229. The reversal of 4078738225 is 5228378704.

The square root of 4078738225 is 63865.

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

It can be written as a sum of positive squares in 13 ways, for example, as 722158129 + 3356580096 = 26873^2 + 57936^2 .

It is not a de Polignac number, because 4078738225 - 25 = 4078738193 is a prime.

It is a super-2 number, since 2×40787382252 = 33272211016152301250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4078738229) 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 26 ways as a sum of consecutive naturals, for example, 16924105 + ... + 16924345.

Almost surely, 24078738225 is an apocalyptic number.

4078738225 is the 63865-th square number.

4078738225 is the 31933-rd centered octagonal number.

It is an amenable number.

4078738225 is a deficient number, since it is larger than the sum of its proper divisors (1097602994).

4078738225 is an frugal number, since it uses more digits than its factorization.

4078738225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The cubic root of 4078738225 is about 1597.7492082419.

The spelling of 4078738225 in words is "four billion, seventy-eight million, seven hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 53 241 265 1205 1325 2809 6025 12773 14045 58081 63865 70225 290405 319325 676969 1452025 3078293 3384845 15391465 16924225 76957325 163149529 815747645 4078738225