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52477188241 = 27728272
BaseRepresentation
bin110000110111111000…
…100101100010010001
312000110020002101001111
4300313320211202101
51324433130010431
640035132133321
73535301511622
oct606770454221
9160406071044
1052477188241
112028a006265
12a206607241
134c44042c9a
14277b723a49
1515720b67b1
hexc37e25891

52477188241 has 9 divisors (see below), whose sum is σ = 52731082299. Its totient is φ = 52224514104.

The previous prime is 52477188233. The next prime is 52477188251. The reversal of 52477188241 is 14288177425.

It is a happy number.

The square root of 52477188241 is 229079.

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., 9044961025 + 43432227216 = 95105^2 + 208404^2 .

It is not a de Polignac number, because 52477188241 - 23 = 52477188233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52477188251) 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, 63454470 + ... + 63455296.

Almost surely, 252477188241 is an apocalyptic number.

52477188241 is the 229079-th square number.

52477188241 is the 114540-th centered octagonal number.

It is an amenable number.

52477188241 is a deficient number, since it is larger than the sum of its proper divisors (253894058).

52477188241 is an frugal number, since it uses more digits than its factorization.

52477188241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 1104 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 49.

Multiplying 52477188241 by its sum of digits (49), we get a square (2571382223809 = 16035532).

The spelling of 52477188241 in words is "fifty-two billion, four hundred seventy-seven million, one hundred eighty-eight thousand, two hundred forty-one".

Divisors: 1 277 827 76729 229079 683929 63454883 189448333 52477188241