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2039005752 = 2337232931801
BaseRepresentation
bin111100110001000…
…1100001000111000
312021002202020001120
41321202030020320
513133441141002
6534154545240
7101346156120
oct17142141070
95232666046
102039005752
11956a69223
1248aa38220
132665834a4
14154b2dc80
15be019cbc
hex7988c238

2039005752 has 128 divisors (see below), whose sum is σ = 6103157760. Its totient is φ = 555033600.

The previous prime is 2039005741. The next prime is 2039005757. The reversal of 2039005752 is 2575009302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039005757) 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 31 ways as a sum of consecutive naturals, for example, 1131252 + ... + 1133052.

It is an arithmetic number, because the mean of its divisors is an integer number (47680920).

Almost surely, 22039005752 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 2039005752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051578880).

2039005752 is an abundant number, since it is smaller than the sum of its proper divisors (4064152008).

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

2039005752 is a wasteful number, since it uses less digits than its factorization.

2039005752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 2039005752 is about 45155.3513107804. The cubic root of 2039005752 is about 1268.0590667320.

The spelling of 2039005752 in words is "two billion, thirty-nine million, five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 293 322 483 552 586 644 879 966 1172 1288 1758 1801 1932 2051 2344 3516 3602 3864 4102 5403 6153 6739 7032 7204 8204 10806 12306 12607 13478 14408 16408 20217 21612 24612 25214 26956 37821 40434 41423 43224 47173 49224 50428 53912 75642 80868 82846 94346 100856 124269 141519 151284 161736 165692 188692 248538 283038 289961 302568 331384 377384 497076 527693 566076 579922 869883 994152 1055386 1132152 1159844 1583079 1739766 2110772 2319688 3166158 3479532 3693851 4221544 6332316 6959064 7387702 11081553 12136939 12664632 14775404 22163106 24273878 29550808 36410817 44326212 48547756 72821634 84958573 88652424 97095512 145643268 169917146 254875719 291286536 339834292 509751438 679668584 1019502876 2039005752