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45481240 = 23571271279
BaseRepresentation
bin1010110101111…
…1110100011000
310011120200112101
42231133310120
543120344430
64302453144
71061404240
oct255376430
9104520471
1045481240
1123744802
12132941b4
13956569c
14607cb20
153ed5dca
hex2b5fd18

45481240 has 64 divisors (see below), whose sum is σ = 117964800. Its totient is φ = 15458688.

The previous prime is 45481223. The next prime is 45481243. The reversal of 45481240 is 4218454.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 45481199 and 45481208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45481243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34921 + ... + 36199.

It is an arithmetic number, because the mean of its divisors is an integer number (1843200).

Almost surely, 245481240 is an apocalyptic number.

45481240 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 45481240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58982400).

45481240 is an abundant number, since it is smaller than the sum of its proper divisors (72483560).

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

45481240 is a wasteful number, since it uses less digits than its factorization.

45481240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 45481240 is about 6743.9780545313. The cubic root of 45481240 is about 356.9527774817.

Adding to 45481240 its reverse (4218454), we get a palindrome (49699694).

The spelling of 45481240 in words is "forty-five million, four hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1279 1778 2540 2558 3556 4445 5080 5116 6395 7112 8890 8953 10232 12790 17780 17906 25580 35560 35812 44765 51160 71624 89530 162433 179060 324866 358120 649732 812165 1137031 1299464 1624330 2274062 3248660 4548124 5685155 6497320 9096248 11370310 22740620 45481240