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2039133852 = 223474121929
BaseRepresentation
bin111100110001010…
…1011011010011100
312021002222201210000
41321202223122130
513134004240402
6534201414300
7101350231440
oct17142533234
95232881700
102039133852
11957046498
1248aa9a390
132665c98a2
14154b64820
15be042c1c
hex798ab69c

2039133852 has 120 divisors (see below), whose sum is σ = 6241102560. Its totient is φ = 568373760.

The previous prime is 2039133847. The next prime is 2039133853. The reversal of 2039133852 is 2583319302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039133853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82024 + ... + 103952.

It is an arithmetic number, because the mean of its divisors is an integer number (52009188).

Almost surely, 22039133852 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 2039133852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120551280).

2039133852 is an abundant number, since it is smaller than the sum of its proper divisors (4201968708).

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

2039133852 is a wasteful number, since it uses less digits than its factorization.

2039133852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21993 (or 21982 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2039133852 is about 45156.7697250368. The cubic root of 2039133852 is about 1268.0856213350.

The spelling of 2039133852 in words is "two billion, thirty-nine million, one hundred thirty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2583 3321 3444 4428 5166 6642 7749 10332 13284 15498 21929 23247 30996 43858 46494 65787 87716 92988 131574 153503 197361 263148 307006 394722 460509 592083 614012 789444 899089 921018 1184166 1381527 1776249 1798178 1842036 2368332 2697267 2763054 3552498 3596356 4144581 5394534 5526108 6293623 7104996 8091801 8289162 10789068 12433743 12587246 16183602 16578324 18880869 24275403 24867486 25174492 32367204 37761738 48550806 49734972 56642607 72826209 75523476 97101612 113285214 145652418 169927821 226570428 291304836 339855642 509783463 679711284 1019566926 2039133852