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2033039952 = 243311341647
BaseRepresentation
bin111100100101101…
…1011101001010000
312020200112010112000
41321023123221100
513130424234302
6533423034000
7101244361116
oct17113335120
95220463460
102033039952
11953664009
12488a3b900
13265274c28
14154019ab6
15bd73c31c
hex792dba50

2033039952 has 80 divisors (see below), whose sum is σ = 5887361280. Its totient is φ = 671666688.

The previous prime is 2033039951. The next prime is 2033039963. The reversal of 2033039952 is 2599303302.

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 (2033039951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27993 + ... + 69639.

It is an arithmetic number, because the mean of its divisors is an integer number (73592016).

Almost surely, 22033039952 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 2033039952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943680640).

2033039952 is an abundant number, since it is smaller than the sum of its proper divisors (3854321328).

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

2033039952 is a wasteful number, since it uses less digits than its factorization.

2033039952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41777 (or 41765 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 2033039952 is about 45089.2443050446. The cubic root of 2033039952 is about 1266.8211469332.

The spelling of 2033039952 in words is "two billion, thirty-three million, thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 41647 48816 83294 124941 166588 249882 333176 374823 499764 666352 749646 999528 1124469 1499292 1999056 2248938 2998584 4497876 4706111 5997168 8995752 9412222 14118333 17991504 18824444 28236666 37648888 42354999 56473332 75297776 84709998 112946664 127064997 169419996 225893328 254129994 338839992 508259988 677679984 1016519976 2033039952