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45286650 = 23252157641
BaseRepresentation
bin1010110011000…
…0010011111010
310011012210121100
42230300103322
543043133100
64254352230
71056634023
oct254602372
9104183540
1045286650
1123621592
12131bb676
1394c7c46
14602bc4a
153e98400
hex2b304fa

45286650 has 72 divisors (see below), whose sum is σ = 122636124. Its totient is φ = 11980800.

The previous prime is 45286649. The next prime is 45286651. The reversal of 45286650 is 5668254.

45286650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45286649) and next prime (45286651).

It can be written as a sum of positive squares in 6 ways, for example, as 21986721 + 23299929 = 4689^2 + 4827^2 .

It is not an unprimeable number, because it can be changed into a prime (45286651) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70330 + ... + 70970.

Almost surely, 245286650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45286650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61318062).

45286650 is an abundant number, since it is smaller than the sum of its proper divisors (77349474).

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

45286650 is a wasteful number, since it uses less digits than its factorization.

45286650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45286650 is about 6729.5356451987. The cubic root of 45286650 is about 356.4429794706.

The spelling of 45286650 in words is "forty-five million, two hundred eighty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 157 225 314 450 471 641 785 942 1282 1413 1570 1923 2355 2826 3205 3846 3925 4710 5769 6410 7065 7850 9615 11538 11775 14130 16025 19230 23550 28845 32050 35325 48075 57690 70650 96150 100637 144225 201274 288450 301911 503185 603822 905733 1006370 1509555 1811466 2515925 3019110 4528665 5031850 7547775 9057330 15095550 22643325 45286650