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45471132 = 2235741163
BaseRepresentation
bin1010110101110…
…1010110011100
310011120011200000
42231131112130
543120034012
64302334300
71061332620
oct255352634
9104504600
1045471132
1123738153
121328a390
139560bc5
146079180
153ed2ddc
hex2b5d59c

45471132 has 144 divisors (see below), whose sum is σ = 140404992. Its totient is φ = 12597120.

The previous prime is 45471119. The next prime is 45471149. The reversal of 45471132 is 23117454.

45471132 is a `hidden beast` number, since 4 + 547 + 113 + 2 = 666.

It is a super-2 number, since 2×454711322 = 4135247690722848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45471096 and 45471105.

It is a congruent number.

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, 278883 + ... + 279045.

Almost surely, 245471132 is an apocalyptic number.

45471132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45471132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70202496).

45471132 is an abundant number, since it is smaller than the sum of its proper divisors (94933860).

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

45471132 is a wasteful number, since it uses less digits than its factorization.

45471132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 45471132 is about 6743.2286035697. The cubic root of 45471132 is about 356.9263318088.

Adding to 45471132 its reverse (23117454), we get a palindrome (68588586).

The spelling of 45471132 in words is "forty-five million, four hundred seventy-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 163 164 189 243 246 252 287 324 326 369 378 486 489 492 567 574 652 738 756 861 972 978 1107 1134 1141 1148 1467 1476 1701 1722 1956 2214 2268 2282 2583 2934 3321 3402 3423 3444 4401 4428 4564 5166 5868 6642 6683 6804 6846 7749 8802 9963 10269 10332 13203 13284 13366 13692 15498 17604 19926 20049 20538 23247 26406 26732 30807 30996 39609 39852 40098 41076 46494 46781 52812 60147 61614 69741 79218 80196 92421 92988 93562 120294 123228 139482 140343 158436 180441 184842 187124 240588 277263 278964 280686 360882 369684 421029 541323 554526 561372 721764 842058 1082646 1109052 1263087 1623969 1684116 2165292 2526174 3247938 3789261 5052348 6495876 7578522 11367783 15157044 22735566 45471132