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470999368 = 237531113
BaseRepresentation
bin11100000100101…
…110000101001000
31012211021020200001
4130010232011020
51431033434433
6114423052344
714446300000
oct3404560510
91184236601
10470999368
11221959884
121118a10b4
137676cc68
14467a7000
152b53a57d
hex1c12e148

470999368 has 96 divisors (see below), whose sum is σ = 1072949760. Its totient is φ = 193616640.

The previous prime is 470999357. The next prime is 470999371. The reversal of 470999368 is 863999074.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4168080 + ... + 4168192.

It is an arithmetic number, because the mean of its divisors is an integer number (11176560).

Almost surely, 2470999368 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 470999368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536474880).

470999368 is an abundant number, since it is smaller than the sum of its proper divisors (601950392).

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

470999368 is an equidigital number, since it uses as much as digits as its factorization.

470999368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 470999368 is about 21702.5198536944. The cubic root of 470999368 is about 778.0486881459.

The spelling of 470999368 in words is "four hundred seventy million, nine hundred ninety-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 113 124 196 217 226 248 343 392 434 452 686 791 868 904 1372 1519 1582 1736 2401 2744 3038 3164 3503 4802 5537 6076 6328 7006 9604 10633 11074 12152 14012 16807 19208 21266 22148 24521 28024 33614 38759 42532 44296 49042 67228 74431 77518 85064 98084 134456 148862 155036 171647 196168 271313 297724 310072 343294 521017 542626 595448 686588 1042034 1085252 1201529 1373176 1899191 2084068 2170504 2403058 3798382 4168136 4806116 7596764 8410703 9612232 15193528 16821406 33642812 58874921 67285624 117749842 235499684 470999368