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2553584089 = 7272192
BaseRepresentation
bin1001100000110100…
…1001100111011001
320120222000111211111
42120031021213121
520212204142324
61101220100321
7120165051400
oct23015114731
96528014744
102553584089
1110a0482581
125b32346a1
13319071004
141a31dc637
15ee2b2794
hex983499d9

2553584089 has 9 divisors (see below), whose sum is σ = 2970907317. Its totient is φ = 2188483164.

The previous prime is 2553584087. The next prime is 2553584101. The reversal of 2553584089 is 9804853552.

It is a happy number.

The square root of 2553584089 is 50533.

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

It is not a de Polignac number, because 2553584089 - 21 = 2553584087 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2553584081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 350122 + ... + 357340.

It is an arithmetic number, because the mean of its divisors is an integer number (330100813).

Almost surely, 22553584089 is an apocalyptic number.

2553584089 is the 50533-rd square number.

2553584089 is the 25267-th centered octagonal number.

It is an amenable number.

2553584089 is a deficient number, since it is larger than the sum of its proper divisors (417323228).

2553584089 is an frugal number, since it uses more digits than its factorization.

2553584089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14452 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The cubic root of 2553584089 is about 1366.8369832224.

Multiplying 2553584089 by its sum of digits (49), we get a square (125125620361 = 3537312).

2553584089 divided by its sum of digits (49) gives a square (52113961 = 72192).

The spelling of 2553584089 in words is "two billion, five hundred fifty-three million, five hundred eighty-four thousand, eighty-nine".

Divisors: 1 7 49 7219 50533 353731 52113961 364797727 2553584089