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474624780 = 223572237019
BaseRepresentation
bin11100010010100…
…011001100001100
31020002002102210120
4130102203030030
51433000443110
6115032504540
714522146500
oct3422431414
91202072716
10474624780
11223a05693
12112b4b150
137743c186
144706c300
152ba04870
hex1c4a330c

474624780 has 144 divisors (see below), whose sum is σ = 1613364480. Its totient is φ = 103754112.

The previous prime is 474624737. The next prime is 474624797. The reversal of 474624780 is 87426474.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64111 + ... + 71129.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2474624780 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 474624780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

474624780 is an abundant number, since it is smaller than the sum of its proper divisors (1138739700).

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

474624780 is a wasteful number, since it uses less digits than its factorization.

474624780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 474624780 is about 21785.8848798941. The cubic root of 474624780 is about 780.0398730439.

The spelling of 474624780 in words is "four hundred seventy-four million, six hundred twenty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1127 1380 1470 1610 1932 2254 2415 2940 3220 3381 4508 4830 5635 6762 7019 9660 11270 13524 14038 16905 21057 22540 28076 33810 35095 42114 49133 67620 70190 84228 98266 105285 140380 147399 161437 196532 210570 245665 294798 322874 343931 421140 484311 491330 589596 645748 687862 736995 807185 968622 982660 1031793 1130059 1375724 1473990 1614370 1719655 1937244 2063586 2260118 2421555 2947980 3228740 3390177 3439310 4127172 4520236 4843110 5158965 5650295 6780354 6878620 7910413 9686220 10317930 11300590 13560708 15820826 16950885 20635860 22601180 23731239 31641652 33901770 39552065 47462478 67803540 79104130 94924956 118656195 158208260 237312390 474624780