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5439800025 = 34521121492
BaseRepresentation
bin1010001000011110…
…01100001011011001
3112001002221110210000
411010033030023121
542120042100100
62255441443213
7251542352202
oct50417141331
915032843700
105439800025
112341697300
121079940509
13688cc69aa
143986665a9
1521c87c900
hex1443cc2d9

5439800025 has 135 divisors (see below), whose sum is σ = 11150533933. Its totient is φ = 2619777600.

The previous prime is 5439799993. The next prime is 5439800083. The reversal of 5439800025 is 5200089345.

The square root of 5439800025 is 73755.

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

5439800025 is a `hidden beast` number, since 543 + 98 + 0 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1623525849 + 3816274176 = 40293^2 + 61776^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5439800025 - 25 = 5439799993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 36508651 + ... + 36508799.

Almost surely, 25439800025 is an apocalyptic number.

5439800025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5439800025 is the 73755-th square number.

5439800025 is the 36878-th centered octagonal number.

It is an amenable number.

5439800025 is an abundant number, since it is smaller than the sum of its proper divisors (5710733908).

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

5439800025 is a wasteful number, since it uses less digits than its factorization.

5439800025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 5439800025 is about 1758.7103182067.

Multiplying 5439800025 by its sum of digits (36), we get a square (195832800900 = 4425302).

The spelling of 5439800025 in words is "five billion, four hundred thirty-nine million, eight hundred thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 149 165 225 275 297 363 405 447 495 605 675 745 825 891 1089 1341 1485 1639 1815 2025 2235 2475 3025 3267 3725 4023 4455 4917 5445 6705 7425 8195 9075 9801 11175 12069 14751 16335 18029 20115 22201 22275 24585 27225 33525 40975 44253 49005 54087 60345 66603 73755 81675 90145 100575 111005 122925 132759 162261 199809 221265 244211 245025 270435 301725 333015 368775 450725 486783 555025 599427 663795 732633 811305 999045 1106325 1221055 1352175 1460349 1665075 1798281 2197899 2433915 2686321 2997135 3318975 3663165 4056525 4995225 6105275 6593697 7301745 8058963 8991405 10989495 12169575 13431605 14985675 18315825 19781091 24176889 32968485 36508725 40294815 44957025 54947475 67158025 72530667 98905455 120884445 164842425 201474075 217592001 362653335 494527275 604422225 1087960005 1813266675 5439800025