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45132480 = 2632515671
BaseRepresentation
bin1010110000101…
…0101011000000
310010220222010100
42230022223000
543023214410
64251202400
71055422401
oct254125300
9103828110
1045132480
1123526778
1213146400
139472a13
145dcb9a8
153e678c0
hex2b0aac0

45132480 has 84 divisors (see below), whose sum is σ = 155246832. Its totient is φ = 12034560.

The previous prime is 45132443. The next prime is 45132481. The reversal of 45132480 is 8423154.

It is not an unprimeable number, because it can be changed into a prime (45132481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4956 + ... + 10715.

Almost surely, 245132480 is an apocalyptic number.

45132480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45132480 is an abundant number, since it is smaller than the sum of its proper divisors (110114352).

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

45132480 is a wasteful number, since it uses less digits than its factorization.

45132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15694 (or 15681 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45132480 is about 6718.0711517518. The cubic root of 45132480 is about 356.0380382702.

The spelling of 45132480 in words is "forty-five million, one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 15671 31342 47013 62684 78355 94026 125368 141039 156710 188052 235065 250736 282078 313420 376104 470130 501472 564156 626840 705195 752208 940260 1002944 1128312 1253680 1410390 1504416 1880520 2256624 2507360 2820780 3008832 3761040 4513248 5014720 5641560 7522080 9026496 11283120 15044160 22566240 45132480