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474804960 = 25357141311
BaseRepresentation
bin11100010011001…
…111001011100000
31020002102120221220
4130103033023200
51433022224320
6115040415040
714523530010
oct3423171340
91202376856
10474804960
11224018aa3
12113017480
13774a31a6
14470b7c40
152ba3ce40
hex1c4cf2e0

474804960 has 96 divisors (see below), whose sum is σ = 1709309952. Its totient is φ = 108526080.

The previous prime is 474804937. The next prime is 474804977. The reversal of 474804960 is 69408474.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67296 + ... + 74015.

It is an arithmetic number, because the mean of its divisors is an integer number (17805312).

Almost surely, 2474804960 is an apocalyptic number.

474804960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

474804960 is an abundant number, since it is smaller than the sum of its proper divisors (1234504992).

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

474804960 is a wasteful number, since it uses less digits than its factorization.

474804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141336 (or 141328 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 474804960 is about 21790.0197338139. The cubic root of 474804960 is about 780.1385684125.

The spelling of 474804960 in words is "four hundred seventy-four million, eight hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 141311 282622 423933 565244 706555 847866 989177 1130488 1413110 1695732 1978354 2119665 2260976 2826220 2967531 3391464 3956708 4239330 4521952 4945885 5652440 5935062 6782928 7913416 8478660 9891770 11304880 11870124 13565856 14837655 15826832 16957320 19783540 22609760 23740248 29675310 31653664 33914640 39567080 47480496 59350620 67829280 79134160 94960992 118701240 158268320 237402480 474804960