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2565380424 = 233106890851
BaseRepresentation
bin1001100011101000…
…1001100101001000
320121210012211100210
42120322021211020
520223214133144
61102321001120
7120400242135
oct23072114510
96553184323
102565380424
1110a70aa312
125b71831a0
1331b6413a9
141a49cd58c
15100342ab9
hex98e89948

2565380424 has 16 divisors (see below), whose sum is σ = 6413451120. Its totient is φ = 855126800.

The previous prime is 2565380407. The next prime is 2565380429. The reversal of 2565380424 is 4240835652.

It is a super-5 number, since 5×25653804245 (a number of 48 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (2565380429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53445402 + ... + 53445449.

It is an arithmetic number, because the mean of its divisors is an integer number (400840695).

Almost surely, 22565380424 is an apocalyptic number.

2565380424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2565380424 is an abundant number, since it is smaller than the sum of its proper divisors (3848070696).

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

2565380424 is a wasteful number, since it uses less digits than its factorization.

2565380424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106890860 (or 106890856 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 2565380424 is about 50649.5846379810. The cubic root of 2565380424 is about 1368.9384612540.

The spelling of 2565380424 in words is "two billion, five hundred sixty-five million, three hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 106890851 213781702 320672553 427563404 641345106 855126808 1282690212 2565380424