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45555240 = 233517137163
BaseRepresentation
bin1010110111000…
…1111000101000
310011201110001010
42231301320220
543130231430
64304223520
71062133053
oct255617050
9104643033
1045555240
1123795365
121330aba0
139590283
14609ba9a
153eeccb0
hex2b71e28

45555240 has 128 divisors (see below), whose sum is σ = 146655360. Its totient is φ = 11280384.

The previous prime is 45555221. The next prime is 45555241. The reversal of 45555240 is 4255554.

45555240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 45555198 and 45555207.

It is not an unprimeable number, because it can be changed into a prime (45555241) 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 31 ways as a sum of consecutive naturals, for example, 279399 + ... + 279561.

It is an arithmetic number, because the mean of its divisors is an integer number (1145745).

Almost surely, 245555240 is an apocalyptic number.

45555240 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 45555240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73327680).

45555240 is an abundant number, since it is smaller than the sum of its proper divisors (101100120).

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

45555240 is a wasteful number, since it uses less digits than its factorization.

45555240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 45555240 is about 6749.4622007979. The cubic root of 45555240 is about 357.1462652627.

The spelling of 45555240 in words is "forty-five million, five hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 137 163 170 204 255 274 326 340 408 411 489 510 548 652 680 685 815 822 978 1020 1096 1304 1370 1630 1644 1956 2040 2055 2329 2445 2740 2771 3260 3288 3912 4110 4658 4890 5480 5542 6520 6987 8220 8313 9316 9780 11084 11645 13855 13974 16440 16626 18632 19560 22168 22331 23290 27710 27948 33252 34935 41565 44662 46580 55420 55896 66504 66993 69870 83130 89324 93160 110840 111655 133986 139740 166260 178648 223310 267972 279480 332520 334965 379627 446620 535944 669930 759254 893240 1138881 1339860 1518508 1898135 2277762 2679720 3037016 3796270 4555524 5694405 7592540 9111048 11388810 15185080 22777620 45555240