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45300000 = 25355151
BaseRepresentation
bin1010110011001…
…1100100100000
310011020110220210
42230303210200
543044100000
64254534120
71060020654
oct254634440
9104213823
1045300000
1123630619
1213207340
139501045
146032a64
153e9c350
hex2b33920

45300000 has 144 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 12000000.

The previous prime is 45299987. The next prime is 45300007. The reversal of 45300000 is 354.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (45300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299925 + ... + 300075.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 245300000 is an apocalyptic number.

45300000 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 45300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

45300000 is an abundant number, since it is smaller than the sum of its proper divisors (104315424).

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

45300000 is an equidigital number, since it uses as much as digits as its factorization.

45300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 45300000 is about 6730.5274681855. The cubic root of 45300000 is about 356.4780011696.

Adding to 45300000 its reverse (354), we get a palindrome (45300354).

The spelling of 45300000 in words is "forty-five million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 151 160 200 240 250 300 302 375 400 453 480 500 600 604 625 750 755 800 906 1000 1200 1208 1250 1500 1510 1812 1875 2000 2265 2400 2416 2500 3000 3020 3125 3624 3750 3775 4000 4530 4832 5000 6000 6040 6250 7248 7500 7550 9060 9375 10000 11325 12000 12080 12500 14496 15000 15100 18120 18750 18875 20000 22650 24160 25000 30000 30200 36240 37500 37750 45300 50000 56625 60000 60400 72480 75000 75500 90600 94375 100000 113250 120800 150000 151000 181200 188750 226500 283125 300000 302000 362400 377500 453000 471875 566250 604000 755000 906000 943750 1132500 1415625 1510000 1812000 1887500 2265000 2831250 3020000 3775000 4530000 5662500 7550000 9060000 11325000 15100000 22650000 45300000