Search a number
-
+
92640625 = 5672112
BaseRepresentation
bin1011000010110…
…01010101110001
320110022122001021
411201121111301
5142204000000
613105335441
72203301200
oct541312561
9213278037
1092640625
1148325300
1227037581
1316267b4c
14c437237
1581ee11a
hex5859571

92640625 has 63 divisors (see below), whose sum is σ = 148064511. Its totient is φ = 57750000.

The previous prime is 92640593. The next prime is 92640631. The reversal of 92640625 is 52604629.

The square root of 92640625 is 9625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 81162081 + 11478544 = 9009^2 + 3388^2 .

It is not a de Polignac number, because 92640625 - 25 = 92640593 is a prime.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 8421870 + ... + 8421880.

Almost surely, 292640625 is an apocalyptic number.

92640625 is the 9625-th square number.

92640625 is the 4813-rd centered octagonal number.

It is an amenable number.

92640625 is a deficient number, since it is larger than the sum of its proper divisors (55423886).

92640625 is an frugal number, since it uses more digits than its factorization.

92640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 92640625 is about 452.4811505838.

It can be divided in two parts, 9 and 2640625, that multiplied together give a square (23765625 = 48752).

The spelling of 92640625 in words is "ninety-two million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 125 175 245 275 385 539 605 625 847 875 1225 1375 1925 2695 3025 3125 4235 4375 5929 6125 6875 9625 13475 15125 15625 21175 21875 29645 30625 34375 48125 67375 75625 105875 109375 148225 153125 171875 240625 336875 378125 529375 741125 765625 1203125 1684375 1890625 2646875 3705625 8421875 13234375 18528125 92640625