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45483480 = 23325718049
BaseRepresentation
bin1010110110000…
…0010111011000
310011120210121100
42231200113120
543120432410
64302511400
71061413620
oct255402730
9104523540
1045483480
1123746459
1213295560
139566703
14607d880
153ed68c0
hex2b605d8

45483480 has 96 divisors (see below), whose sum is σ = 168948000. Its totient is φ = 10395648.

The previous prime is 45483469. The next prime is 45483481. The reversal of 45483480 is 8438454.

45483480 is a `hidden beast` number, since 4 + 548 + 34 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45483481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6505 + ... + 11544.

It is an arithmetic number, because the mean of its divisors is an integer number (1759875).

Almost surely, 245483480 is an apocalyptic number.

45483480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45483480 is an abundant number, since it is smaller than the sum of its proper divisors (123464520).

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

45483480 is a wasteful number, since it uses less digits than its factorization.

45483480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18073 (or 18066 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45483480 is about 6744.1441265738. The cubic root of 45483480 is about 356.9586374883.

The spelling of 45483480 in words is "forty-five million, four hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 18049 36098 54147 72196 90245 108294 126343 144392 162441 180490 216588 252686 270735 324882 360980 379029 433176 505372 541470 631715 649764 721960 758058 812205 1010744 1082940 1137087 1263430 1299528 1516116 1624410 1895145 2165880 2274174 2526860 3032232 3248820 3790290 4548348 5053720 5685435 6497640 7580580 9096696 11370870 15161160 22741740 45483480