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4452041000 = 2353112317597
BaseRepresentation
bin1000010010101110…
…01100000100101000
3102111021022010010102
410021113030010220
533104210303000
62013434404532
7215216503241
oct41127140450
912437263112
104452041000
111985074330
12a42b90748
1355c4843b4
143033c3cc8
151b0cb83d5
hex1095cc128

4452041000 has 128 divisors (see below), whose sum is σ = 11859644160. Its totient is φ = 1548448000.

The previous prime is 4452040981. The next prime is 4452041003. The reversal of 4452041000 is 1402544.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4452041003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244202 + ... + 261798.

It is an arithmetic number, because the mean of its divisors is an integer number (92653470).

Almost surely, 24452041000 is an apocalyptic number.

4452041000 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 4452041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929822080).

4452041000 is an abundant number, since it is smaller than the sum of its proper divisors (7407603160).

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

4452041000 is a wasteful number, since it uses less digits than its factorization.

4452041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17652 (or 17638 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4452041000 is about 66723.6165086995. The cubic root of 4452041000 is about 1645.0775855475.

Adding to 4452041000 its reverse (1402544), we get a palindrome (4453443544).

The spelling of 4452041000 in words is "four billion, four hundred fifty-two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 17597 23000 25300 31625 35194 50600 63250 70388 87985 126500 140776 175970 193567 253000 351940 387134 404731 439925 703880 774268 809462 879850 967835 1548536 1618924 1759700 1935670 2023655 2199625 3237848 3519400 3871340 4047310 4399250 4452041 4839175 7742680 8094620 8798500 8904082 9678350 10118275 16189240 17597000 17808164 19356700 20236550 22260205 24195875 35616328 38713400 40473100 44520410 48391750 50591375 80946200 89040820 96783500 101182750 111301025 178081640 193567000 202365500 222602050 404731000 445204100 556505125 890408200 1113010250 2226020500 4452041000