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2590204416 = 2934339217
BaseRepresentation
bin1001101001100011…
…0110001000000000
320200111221000110220
42122120312020000
520301043020131
61105005023040
7121121242242
oct23230661000
96614830426
102590204416
11110a114a08
12603554a80
13323823447
141a8012092
151025e7e96
hex9a636200

2590204416 has 80 divisors (see below), whose sum is σ = 7061122464. Its totient is φ = 843300864.

The previous prime is 2590204403. The next prime is 2590204417. The reversal of 2590204416 is 6144020952.

It is not an unprimeable number, because it can be changed into a prime (2590204417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46440 + ... + 85656.

Almost surely, 22590204416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530561232).

2590204416 is an abundant number, since it is smaller than the sum of its proper divisors (4470918048).

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

2590204416 is an equidigital number, since it uses as much as digits as its factorization.

2590204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39281 (or 39265 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2590204416 is about 50894.0508900598. The cubic root of 2590204416 is about 1373.3398217140.

The spelling of 2590204416 in words is "two billion, five hundred ninety million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 2064 2752 4128 5504 8256 11008 16512 22016 33024 39217 66048 78434 117651 156868 235302 313736 470604 627472 941208 1254944 1686331 1882416 2509888 3372662 3764832 5019776 5058993 6745324 7529664 10039552 10117986 13490648 15059328 20079104 20235972 26981296 30118656 40471944 53962592 60237312 80943888 107925184 161887776 215850368 323775552 431700736 647551104 863401472 1295102208 2590204416