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3737488225 = 52122272
BaseRepresentation
bin1101111011000101…
…1000101101100001
3100122110202001222211
43132301120231201
530123244110400
61414511202121
7161422061062
oct33661305541
910573661884
103737488225
111648795249
12883816341
1347741b0c3
1427653c569
1516d1bddba
hexdec58b61

3737488225 has 9 divisors (see below), whose sum is σ = 4634864467. Its totient is φ = 2989746040.

The previous prime is 3737488213. The next prime is 3737488229. The reversal of 3737488225 is 5228847373.

It is a happy number.

The square root of 3737488225 is 61135.

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

It can be written as a sum of positive squares in only one way, i.e., 1345495761 + 2391992464 = 36681^2 + 48908^2 .

It is not a de Polignac number, because 3737488225 - 29 = 3737487713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3737488229) 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 8 ways as a sum of consecutive naturals, for example, 299562 + ... + 311788.

Almost surely, 23737488225 is an apocalyptic number.

3737488225 is the 61135-th square number.

3737488225 is the 30568-th centered octagonal number.

It is an amenable number.

3737488225 is a deficient number, since it is larger than the sum of its proper divisors (897376242).

3737488225 is an frugal number, since it uses more digits than its factorization.

3737488225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24464 (or 12232 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 49.

The cubic root of 3737488225 is about 1551.8864613475.

Multiplying 3737488225 by its sum of digits (49), we get a square (183136923025 = 4279452).

The spelling of 3737488225 in words is "three billion, seven hundred thirty-seven million, four hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 12227 61135 305675 149499529 747497645 3737488225