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45530640 = 24335107197
BaseRepresentation
bin1010110110101…
…1111000010000
310011200012022000
42231223320100
543123440030
64303514000
71062001251
oct255537020
9104605260
1045530640
1123778931
12132b8900
13958200c
146092b28
153ee5860
hex2b6be10

45530640 has 160 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 11966976.

The previous prime is 45530633. The next prime is 45530663. The reversal of 45530640 is 4603554.

45530640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 231022 + ... + 231218.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 245530640 is an apocalyptic number.

45530640 is a gapful number since it is divisible by the number (40) 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 45530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

45530640 is an abundant number, since it is smaller than the sum of its proper divisors (113566320).

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

45530640 is a wasteful number, since it uses less digits than its factorization.

45530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45530640 is about 6747.6395872927. The cubic root of 45530640 is about 357.0819669145.

The spelling of 45530640 in words is "forty-five million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 197 214 216 240 270 321 360 394 428 432 535 540 591 642 720 788 856 963 985 1070 1080 1182 1284 1576 1605 1712 1773 1926 1970 2140 2160 2364 2568 2889 2955 3152 3210 3546 3852 3940 4280 4728 4815 5136 5319 5778 5910 6420 7092 7704 7880 8560 8865 9456 9630 10638 11556 11820 12840 14184 14445 15408 15760 17730 19260 21079 21276 23112 23640 25680 26595 28368 28890 35460 38520 42158 42552 46224 47280 53190 57780 63237 70920 77040 84316 85104 105395 106380 115560 126474 141840 168632 189711 210790 212760 231120 252948 316185 337264 379422 421580 425520 505896 569133 632370 758844 843160 948555 1011792 1138266 1264740 1517688 1686320 1897110 2276532 2529480 2845665 3035376 3794220 4553064 5058960 5691330 7588440 9106128 11382660 15176880 22765320 45530640