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3788525601 = 34729772
BaseRepresentation
bin1110000111010000…
…0101000000100001
3100210000210001010000
43201310011000201
530224330304401
61423533130213
7162611636100
oct34164050041
910700701100
103788525601
1116745843a3
12898929969
13484b7a733
1427d226037
15172901186
hexe1d05021

3788525601 has 45 divisors (see below), whose sum is σ = 6590131779. Its totient is φ = 2162655936.

The previous prime is 3788525581. The next prime is 3788525627. The reversal of 3788525601 is 1065258873.

The square root of 3788525601 is 61551.

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

3788525601 is a `hidden beast` number, since 3 + 7 + 8 + 85 + 2 + 560 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3544416225 + 244109376 = 59535^2 + 15624^2 .

It is not a de Polignac number, because 3788525601 - 211 = 3788523553 is a prime.

It is a super-2 number, since 2×37885256012 = 28705852458864822402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3788525651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3877225 + ... + 3878201.

Almost surely, 23788525601 is an apocalyptic number.

3788525601 is the 61551-st square number.

3788525601 is the 30776-th centered octagonal number.

It is an amenable number.

3788525601 is a deficient number, since it is larger than the sum of its proper divisors (2801606178).

3788525601 is an frugal number, since it uses more digits than its factorization.

3788525601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The cubic root of 3788525601 is about 1558.9184922558.

The spelling of 3788525601 in words is "three billion, seven hundred eighty-eight million, five hundred twenty-five thousand, six hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 977 1323 2931 3969 6839 8793 20517 26379 47873 61551 79137 143619 184653 430857 553959 954529 1292571 2863587 3877713 6681703 8590761 20045109 25772283 46771921 60135327 77316849 140315763 180405981 420947289 541217943 1262841867 3788525601