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2542371584 = 2873136043
BaseRepresentation
bin1001011110001001…
…1000001100000000
320120011220212011112
42113202120030000
520201321342314
61100135502452
7120000542024
oct22742301400
96504825145
102542371584
111095114445
125ab527a28
133169465ac
141a1920384
15ed2ea43e
hex97898300

2542371584 has 36 divisors (see below), whose sum is σ = 5144367816. Its totient is φ = 1253763072.

The previous prime is 2542371571. The next prime is 2542371617. The reversal of 2542371584 is 4851732452.

It is a super-2 number, since 2×25423715842 = 12927306542261338112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49334 + ... + 86709.

It is an arithmetic number, because the mean of its divisors is an integer number (142899106).

Almost surely, 22542371584 is an apocalyptic number.

It is an amenable number.

2542371584 is an abundant number, since it is smaller than the sum of its proper divisors (2601996232).

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

2542371584 is an equidigital number, since it uses as much as digits as its factorization.

2542371584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136132 (or 136118 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 2542371584 is about 50421.9355439674. The cubic root of 2542371584 is about 1364.8335047187.

The spelling of 2542371584 in words is "two billion, five hundred forty-two million, three hundred seventy-one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 9344 18688 136043 272086 544172 1088344 2176688 4353376 8706752 9931139 17413504 19862278 34827008 39724556 79449112 158898224 317796448 635592896 1271185792 2542371584