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5376555625 = 54724192
BaseRepresentation
bin1010000000111011…
…11011101001101001
3111212200221022202211
411000131323221221
542002344240000
62245302125121
7250143653200
oct50035735151
914780838684
105376555625
112309a1a901
1210607207a1
13678b8207c
143900c2237
152170387ba
hex14077ba69

5376555625 has 45 divisors (see below), whose sum is σ = 7834146177. Its totient is φ = 3677982000.

The previous prime is 5376555563. The next prime is 5376555629. The reversal of 5376555625 is 5265556735.

The square root of 5376555625 is 73325.

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

It can be written as a sum of positive squares in 2 ways, for example, as 421521961 + 4955033664 = 20531^2 + 70392^2 .

It is not a de Polignac number, because 5376555625 - 29 = 5376555113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5376555629) 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 44 ways as a sum of consecutive naturals, for example, 12831666 + ... + 12832084.

Almost surely, 25376555625 is an apocalyptic number.

5376555625 is the 73325-th square number.

5376555625 is the 36663-rd centered octagonal number.

It is an amenable number.

5376555625 is a deficient number, since it is larger than the sum of its proper divisors (2457590552).

5376555625 is an frugal number, since it uses more digits than its factorization.

5376555625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 431 counting only the distinct ones).

The product of its digits is 4725000, while the sum is 49.

The cubic root of 5376555625 is about 1751.8680053226.

Multiplying 5376555625 by its sum of digits (49), we get a square (263451225625 = 5132752).

5376555625 divided by its sum of digits (49) gives a square (109725625 = 104752).

It can be divided in two parts, 5376 and 555625, that added together give a square (561001 = 7492).

The spelling of 5376555625 in words is "five billion, three hundred seventy-six million, five hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 419 625 875 1225 2095 2933 4375 6125 10475 14665 20531 30625 52375 73325 102655 175561 261875 366625 513275 877805 1228927 1833125 2566375 4389025 6144635 8602489 12831875 21945125 30723175 43012445 109725625 153615875 215062225 768079375 1075311125 5376555625