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471349248 = 211376717
BaseRepresentation
bin11100000110000…
…011100000000000
31012211221000121120
4130012003200000
51431131133443
6114434352240
714452255026
oct3406034000
91184830546
10471349248
11222078737
12111a2b680
13768632a6
1446858716
152b5a9083
hex1c183800

471349248 has 48 divisors (see below), whose sum is σ = 1256640840. Its totient is φ = 157114368.

The previous prime is 471349237. The next prime is 471349261. The reversal of 471349248 is 842943174.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4713492482 = 444340227180331008, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32215 + ... + 44502.

Almost surely, 2471349248 is an apocalyptic number.

471349248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

471349248 is an abundant number, since it is smaller than the sum of its proper divisors (785291592).

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

471349248 is an equidigital number, since it uses as much as digits as its factorization.

471349248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76742 (or 76722 counting only the distinct ones).

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

The square root of 471349248 is about 21710.5791723758. The cubic root of 471349248 is about 778.2412972480.

The spelling of 471349248 in words is "four hundred seventy-one million, three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 76717 153434 230151 306868 460302 613736 920604 1227472 1841208 2454944 3682416 4909888 7364832 9819776 14729664 19639552 29459328 39279104 58918656 78558208 117837312 157116416 235674624 471349248