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2004303552 = 26350920509
BaseRepresentation
bin111011101110111…
…0011111011000000
312011200110011120220
41313131303323000
513101100203202
6530515103040
7100445204406
oct16735637300
95150404526
102004303552
11939416a19
1247b2a1a80
1325c323144
14150299476
15bae62abc
hex77773ec0

2004303552 has 56 divisors (see below), whose sum is σ = 5313730800. Its totient is φ = 666756096.

The previous prime is 2004303547. The next prime is 2004303557. The reversal of 2004303552 is 2553034002.

It is an interprime number because it is at equal distance from previous prime (2004303547) and next prime (2004303557).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2004303557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87474 + ... + 107982.

It is an arithmetic number, because the mean of its divisors is an integer number (94888050).

Almost surely, 22004303552 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 2004303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656865400).

2004303552 is an abundant number, since it is smaller than the sum of its proper divisors (3309427248).

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

2004303552 is a wasteful number, since it uses less digits than its factorization.

2004303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21023 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2004303552 is about 44769.4488686202. The cubic root of 2004303552 is about 1260.8240917820.

Adding to 2004303552 its reverse (2553034002), we get a palindrome (4557337554).

The spelling of 2004303552 in words is "two billion, four million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 509 1018 1527 2036 3054 4072 6108 8144 12216 16288 20509 24432 32576 41018 48864 61527 82036 97728 123054 164072 246108 328144 492216 656288 984432 1312576 1968864 3937728 10439081 20878162 31317243 41756324 62634486 83512648 125268972 167025296 250537944 334050592 501075888 668101184 1002151776 2004303552