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474865920 = 2832541221
BaseRepresentation
bin11100010011011…
…110000100000000
31020002112200120200
4130103132010000
51433031202140
6115042005200
714524202514
oct3423360400
91202480520
10474865920
1122405a881
12113046800
13774c4b69
14470d2144
152ba51030
hex1c4de100

474865920 has 108 divisors (see below), whose sum is σ = 1643026476. Its totient is φ = 126627840.

The previous prime is 474865901. The next prime is 474865999. The reversal of 474865920 is 29568474.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 120824064 + 354041856 = 10992^2 + 18816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 9091 + ... + 32130.

Almost surely, 2474865920 is an apocalyptic number.

474865920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

474865920 is an abundant number, since it is smaller than the sum of its proper divisors (1168160556).

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

474865920 is a wasteful number, since it uses less digits than its factorization.

474865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41248 (or 41231 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 474865920 is about 21791.4184944441. The cubic root of 474865920 is about 780.1719541997.

The spelling of 474865920 in words is "four hundred seventy-four million, eight hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 41221 82442 123663 164884 206105 247326 329768 370989 412210 494652 618315 659536 741978 824420 989304 1236630 1319072 1483956 1648840 1854945 1978608 2473260 2638144 2967912 3297680 3709890 3957216 4946520 5276288 5935824 6595360 7419780 7914432 9893040 10552576 11871648 13190720 14839560 15828864 19786080 23743296 26381440 29679120 31657728 39572160 47486592 52762880 59358240 79144320 94973184 118716480 158288640 237432960 474865920