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145845882 = 232713269331
BaseRepresentation
bin10001011000101…
…10111001111010
3101011102201221100
420230112321322
5244314032012
622245552230
73420445440
oct1054267172
9334381840
10145845882
1175365196
1240a15676
13242a6150
1415526b90
15cc0d8dc
hex8b16e7a

145845882 has 96 divisors (see below), whose sum is σ = 391547520. Its totient is φ = 38206080.

The previous prime is 145845811. The next prime is 145845893. The reversal of 145845882 is 288548541.

145845882 is a `hidden beast` number, since 14 + 58 + 4 + 588 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440457 + ... + 440787.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2145845882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145845882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195773760).

145845882 is an abundant number, since it is smaller than the sum of its proper divisors (245701638).

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

145845882 is a wasteful number, since it uses less digits than its factorization.

145845882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 625 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 145845882 is about 12076.6668414758. Note that the first 3 decimals coincide. The cubic root of 145845882 is about 526.3783968748.

The spelling of 145845882 in words is "one hundred forty-five million, eight hundred forty-five thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 269 273 331 538 546 662 807 819 993 1614 1638 1883 1986 2317 2421 2979 3497 3766 4303 4634 4842 5649 5958 6951 6994 8606 10491 11298 12909 13902 16947 20853 20982 24479 25818 30121 31473 33894 38727 41706 48958 60242 62946 73437 77454 89039 90363 146874 178078 180726 220311 267117 271089 440622 534234 542178 623273 801351 1157507 1246546 1602702 1869819 2315014 3472521 3739638 5609457 6945042 8102549 10417563 11218914 16205098 20835126 24307647 48615294 72922941 145845882