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38921371225 = 521121722112
BaseRepresentation
bin100100001111111001…
…001111111001011001
310201110111102111222121
4210033321033321121
51114202332334400
625514044021241
72545336124332
oct441771177131
9121414374877
1038921371225
1115563110300
127662831821
133893775199
141c53233289
15102be7321a
hex90fe4fe59

38921371225 has 81 divisors (see below), whose sum is σ = 56621286813. Its totient is φ = 26515104000.

The previous prime is 38921371219. The next prime is 38921371241. The reversal of 38921371225 is 52217312983.

The square root of 38921371225 is 197285.

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 910409929 + 38010961296 = 30173^2 + 194964^2 .

It is not a de Polignac number, because 38921371225 - 211 = 38921369177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 184461370 + ... + 184461580.

Almost surely, 238921371225 is an apocalyptic number.

38921371225 is the 197285-th square number.

38921371225 is the 98643-rd centered octagonal number.

It is an amenable number.

38921371225 is a deficient number, since it is larger than the sum of its proper divisors (17699915588).

38921371225 is a wasteful number, since it uses less digits than its factorization.

38921371225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The spelling of 38921371225 in words is "thirty-eight billion, nine hundred twenty-one million, three hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 187 211 275 289 425 605 935 1055 1445 2057 2321 3025 3179 3587 4675 5275 7225 10285 11605 15895 17935 25531 34969 39457 44521 51425 58025 60979 79475 89675 127655 174845 197285 222605 304895 434027 489731 638275 670769 756857 874225 986425 1113025 1524475 2170135 2448655 3353845 3784285 5387041 7378459 8325427 10850675 12243275 12866569 16769225 18921425 26935205 36892295 41627135 64332845 91579697 134676025 141532259 184461475 208135675 321664225 457898485 707661295 1556854849 2289492425 3538306475 7784274245 38921371225