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1889935542 = 2321121575527
BaseRepresentation
bin111000010100110…
…0010000010110110
311212201020200011200
41300221202002312
512332310414132
6511311513330
764556121105
oct16051420266
94781220150
101889935542
1188a901600
12448b28846
1324171b871
1413d00803c
15b0dc0d7c
hex70a620b6

1889935542 has 72 divisors (see below), whose sum is σ = 4530450288. Its totient is φ = 568956960.

The previous prime is 1889935517. The next prime is 1889935547. The reversal of 1889935542 is 2455399881.

1889935542 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 93 + 5 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889935547) 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 35 ways as a sum of consecutive naturals, for example, 339183 + ... + 344709.

Almost surely, 21889935542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1889935542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265225144).

1889935542 is an abundant number, since it is smaller than the sum of its proper divisors (2640514746).

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

1889935542 is a wasteful number, since it uses less digits than its factorization.

1889935542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5700 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 1889935542 is about 43473.3888948170. The cubic root of 1889935542 is about 1236.3715342374.

The spelling of 1889935542 in words is "one billion, eight hundred eighty-nine million, nine hundred thirty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 157 198 242 314 363 471 726 942 1089 1413 1727 2178 2826 3454 5181 5527 10362 11054 15543 16581 18997 31086 33162 37994 49743 56991 60797 99486 113982 121594 170973 182391 341946 364782 547173 668767 867739 1094346 1337534 1735478 2006301 2603217 4012602 5206434 6018903 7809651 9545129 12037806 15619302 19090258 28635387 57270774 85906161 104996419 171812322 209992838 314989257 629978514 944967771 1889935542