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470047360 = 2758572
BaseRepresentation
bin11100000001000…
…101101010000000
31012202110212202111
4130001011222000
51430313003420
6114350425104
714435223316
oct3401055200
91182425674
10470047360
112213695a2
12111502194
13764c8843
14465da0b6
152b3ed45a
hex1c045a80

470047360 has 48 divisors (see below), whose sum is σ = 1125019710. Its totient is φ = 187799552.

The previous prime is 470047351. The next prime is 470047373. The reversal of 470047360 is 63740074.

It can be written as a sum of positive squares in 3 ways, for example, as 468982336 + 1065024 = 21656^2 + 1032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 548052 + ... + 548908.

Almost surely, 2470047360 is an apocalyptic number.

470047360 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 470047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562509855).

470047360 is an abundant number, since it is smaller than the sum of its proper divisors (654972350).

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

470047360 is an frugal number, since it uses more digits than its factorization.

470047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 470047360 is about 21680.5756381144. The cubic root of 470047360 is about 777.5241239676.

The spelling of 470047360 in words is "four hundred seventy million, forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 857 1714 3428 4285 6856 8570 13712 17140 27424 34280 54848 68560 109696 137120 274240 548480 734449 1468898 2937796 3672245 5875592 7344490 11751184 14688980 23502368 29377960 47004736 58755920 94009472 117511840 235023680 470047360