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2575820484 = 22321729145133
BaseRepresentation
bin1001100110000111…
…1110011011000100
320122111212020102200
42121201332123010
520233402223414
61103332434500
7120555053466
oct23141763304
96574766380
102575820484
111101a90066
125ba778a30
13320858343
141a614a136
15101206109
hex9987e6c4

2575820484 has 72 divisors (see below), whose sum is σ = 7131884760. Its totient is φ = 780229632.

The previous prime is 2575820479. The next prime is 2575820521. The reversal of 2575820484 is 4840285752.

2575820484 is a `hidden beast` number, since 25 + 7 + 582 + 0 + 48 + 4 = 666.

2575820484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 365880384 + 2209940100 = 19128^2 + 47010^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54819 + ... + 90314.

It is an arithmetic number, because the mean of its divisors is an integer number (99053955).

Almost surely, 22575820484 is an apocalyptic number.

It is an amenable number.

2575820484 is an abundant number, since it is smaller than the sum of its proper divisors (4556064276).

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

2575820484 is a wasteful number, since it uses less digits than its factorization.

2575820484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145189 (or 145184 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2575820484 is about 50752.5416506405. The cubic root of 2575820484 is about 1370.7929563317.

The spelling of 2575820484 in words is "two billion, five hundred seventy-five million, eight hundred twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 145133 290266 435399 580532 870798 1306197 1741596 2467261 2612394 4208857 4934522 5224788 7401783 8417714 9869044 12626571 14803566 16835428 22205349 25253142 29607132 37879713 44410698 50506284 71550569 75759426 88821396 143101138 151518852 214651707 286202276 429303414 643955121 858606828 1287910242 2575820484