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2004042544 = 247372811721
BaseRepresentation
bin111011101110011…
…0100001100110000
312011122221220112221
41313130310030300
513101013330134
6530505330424
7100443036430
oct16734641460
95148856487
102004042544
11939258909
1247b196a14
1325c2613ba
1415022c2c0
15bae105b4
hex77734330

2004042544 has 80 divisors (see below), whose sum is σ = 4576332096. Its totient is φ = 832204800.

The previous prime is 2004042527. The next prime is 2004042583. The reversal of 2004042544 is 4452404002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163604 + ... + 1165324.

Almost surely, 22004042544 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 2004042544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288166048).

2004042544 is an abundant number, since it is smaller than the sum of its proper divisors (2572289552).

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

2004042544 is a wasteful number, since it uses less digits than its factorization.

2004042544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 2004042544 is about 44766.5337501129. The cubic root of 2004042544 is about 1260.7693596432.

Adding to 2004042544 its reverse (4452404002), we get a palindrome (6456446546).

The spelling of 2004042544 in words is "two billion, four million, forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 281 296 518 562 592 1036 1124 1721 1967 2072 2248 3442 3934 4144 4496 6884 7868 10397 12047 13768 15736 20794 24094 27536 31472 41588 48188 63677 72779 83176 96376 127354 145558 166352 192752 254708 291116 445739 483601 509416 582232 891478 967202 1018832 1164464 1782956 1934404 3385207 3565912 3868808 6770414 7131824 7737616 13540828 17893237 27081656 35786474 54163312 71572948 125252659 143145896 250505318 286291792 501010636 1002021272 2004042544