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55130625 = 3654112
BaseRepresentation
bin1101001001001…
…1101000000001
310211201221000000
43102103220001
5103103140000
65245350213
71236413454
oct322235001
9124657000
1055130625
1129135500
1216568369
13b563794
14747149b
154c90000
hex3493a01

55130625 has 105 divisors (see below), whose sum is σ = 113533189. Its totient is φ = 26730000.

The previous prime is 55130611. The next prime is 55130627. The reversal of 55130625 is 52603155.

The square root of 55130625 is 7425.

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

55130625 is a `hidden beast` number, since 5 + 5 + 1 + 30 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4322241 + 50808384 = 2079^2 + 7128^2 .

It is not a de Polignac number, because 55130625 - 27 = 55130497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55130627) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 5011870 + ... + 5011880.

Almost surely, 255130625 is an apocalyptic number.

55130625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55130625 is the 7425-th square number.

55130625 is the 3713-rd centered octagonal number.

It is an amenable number.

55130625 is an abundant number, since it is smaller than the sum of its proper divisors (58402564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55130625 is an frugal number, since it uses more digits than its factorization.

55130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The cubic root of 55130625 is about 380.5960751152.

It can be divided in two parts, 55130 and 625, that added together give a palindrome (55755).

The spelling of 55130625 in words is "fifty-five million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 125 135 165 225 243 275 297 363 375 405 495 605 625 675 729 825 891 1089 1125 1215 1375 1485 1815 1875 2025 2475 2673 3025 3267 3375 3645 4125 4455 5445 5625 6075 6875 7425 8019 9075 9801 10125 12375 13365 15125 16335 16875 18225 20625 22275 27225 29403 30375 37125 40095 45375 49005 50625 61875 66825 75625 81675 88209 91125 111375 136125 147015 151875 185625 200475 226875 245025 334125 408375 441045 455625 556875 680625 735075 1002375 1225125 1670625 2041875 2205225 3675375 5011875 6125625 11026125 18376875 55130625