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482402900 = 225276831009
BaseRepresentation
bin11100110000001…
…110001001010100
31020121201121101002
4130300032021110
51441443343100
6115511322432
714645233310
oct3460161124
91217647332
10482402900
11228338491
12115680418
1378c33605
14480d4b40
152c53e2d5
hex1cc0e254

482402900 has 72 divisors (see below), whose sum is σ = 1199298240. Its totient is φ = 164989440.

The previous prime is 482402861. The next prime is 482402903. The reversal of 482402900 is 9204284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482402903) 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, 477596 + ... + 478604.

It is an arithmetic number, because the mean of its divisors is an integer number (16656920).

Almost surely, 2482402900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482402900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599649120).

482402900 is an abundant number, since it is smaller than the sum of its proper divisors (716895340).

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

482402900 is a wasteful number, since it uses less digits than its factorization.

482402900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 482402900 is about 21963.6722794709. The cubic root of 482402900 is about 784.2778867934.

The spelling of 482402900 in words is "four hundred eighty-two million, four hundred two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 683 700 1009 1366 2018 2732 3415 4036 4781 5045 6830 7063 9562 10090 13660 14126 17075 19124 20180 23905 25225 28252 34150 35315 47810 50450 68300 70630 95620 100900 119525 141260 176575 239050 353150 478100 689147 706300 1378294 2756588 3445735 4824029 6891470 9648058 13782940 17228675 19296116 24120145 34457350 48240290 68914700 96480580 120600725 241201450 482402900