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1250225249 = 72136173181
BaseRepresentation
bin100101010000100…
…1110110001100001
310020010112000121212
41022201032301201
510030024201444
6324020355505
742660511400
oct11241166141
93203460555
101250225249
115917a0809
122aa845b95
1316c02b270
14bc085637
1574b5c19e
hex4a84ec61

1250225249 has 24 divisors (see below), whose sum is σ = 1569247848. Its totient is φ = 987275520.

The previous prime is 1250225209. The next prime is 1250225267. The reversal of 1250225249 is 9425220521.

It can be written as a sum of positive squares in 4 ways, for example, as 158583649 + 1091641600 = 12593^2 + 33040^2 .

It is not a de Polignac number, because 1250225249 - 28 = 1250224993 is a prime.

It is a super-3 number, since 3×12502252493 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1250225209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391439 + ... + 394619.

It is an arithmetic number, because the mean of its divisors is an integer number (65385327).

Almost surely, 21250225249 is an apocalyptic number.

It is an amenable number.

1250225249 is a deficient number, since it is larger than the sum of its proper divisors (319022599).

1250225249 is a wasteful number, since it uses less digits than its factorization.

1250225249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1250225249 is about 35358.5244177412. The cubic root of 1250225249 is about 1077.2820456977.

The spelling of 1250225249 in words is "one billion, two hundred fifty million, two hundred twenty-five thousand, two hundred forty-nine".

Divisors: 1 7 13 49 91 617 637 3181 4319 8021 22267 30233 41353 56147 155869 289471 393029 1962677 2026297 13738739 25514801 96171173 178603607 1250225249