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472998000 = 24353312543
BaseRepresentation
bin11100001100010…
…110000001110000
31012222000210021110
4130030112001300
51432041414000
6114533553320
714502262626
oct3414260160
91188023243
10472998000
11222aa4442
121124a5840
1376cbc897
1446b67516
152b7d2850
hex1c316070

472998000 has 160 divisors (see below), whose sum is σ = 1574756352. Its totient is φ = 122016000.

The previous prime is 472997983. The next prime is 472998037. The reversal of 472998000 is 899274.

It is a self number, because there is not a number n which added to its sum of digits gives 472998000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 184729 + ... + 187271.

Almost surely, 2472998000 is an apocalyptic number.

472998000 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 472998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787378176).

472998000 is an abundant number, since it is smaller than the sum of its proper divisors (1101758352).

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

472998000 is a wasteful number, since it uses less digits than its factorization.

472998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 472998000 is about 21748.5171908340. The cubic root of 472998000 is about 779.1476553964.

The spelling of 472998000 in words is "four hundred seventy-two million, nine hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 2543 3000 3100 3720 3875 4650 5086 6000 6200 7440 7629 7750 9300 10172 11625 12400 12715 15258 15500 18600 20344 23250 25430 30516 31000 37200 38145 40688 46500 50860 61032 62000 63575 76290 78833 93000 101720 122064 127150 152580 157666 186000 190725 203440 236499 254300 305160 315332 317875 381450 394165 472998 508600 610320 630664 635750 762900 788330 945996 953625 1017200 1182495 1261328 1271500 1525800 1576660 1891992 1907250 1970825 2364990 2543000 3051600 3153320 3783984 3814500 3941650 4729980 5086000 5912475 6306640 7629000 7883300 9459960 9854125 11824950 15258000 15766600 18919920 19708250 23649900 29562375 31533200 39416500 47299800 59124750 78833000 94599600 118249500 157666000 236499000 472998000