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45250000 = 2456181
BaseRepresentation
bin1010110010011…
…1010111010000
310011010221022221
42230213113100
543041000000
64253510424
71056422125
oct254472720
9104127287
1045250000
11235a6aa4
12131a2414
1394b4363
14601c74c
153e8c61a
hex2b275d0

45250000 has 70 divisors (see below), whose sum is σ = 110193902. Its totient is φ = 18000000.

The previous prime is 45249989. The next prime is 45250027. The reversal of 45250000 is 5254.

It is a happy number.

45250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 39237696 + 6012304 = 6264^2 + 2452^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 249910 + ... + 250090.

Almost surely, 245250000 is an apocalyptic number.

45250000 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 45250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55096951).

45250000 is an abundant number, since it is smaller than the sum of its proper divisors (64943902).

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

45250000 is an frugal number, since it uses more digits than its factorization.

45250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 45250000 is about 6726.8120235369. The cubic root of 45250000 is about 356.3467983601.

Adding to 45250000 its reverse (5254), we get a palindrome (45255254).

The spelling of 45250000 in words is "forty-five million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 625 724 905 1000 1250 1448 1810 2000 2500 2896 3125 3620 4525 5000 6250 7240 9050 10000 12500 14480 15625 18100 22625 25000 31250 36200 45250 50000 62500 72400 90500 113125 125000 181000 226250 250000 362000 452500 565625 905000 1131250 1810000 2262500 2828125 4525000 5656250 9050000 11312500 22625000 45250000