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478038312 = 233220693209
BaseRepresentation
bin11100011111100…
…100100100101000
31020022111212021200
4130133210210220
51434334211222
6115234004200
714563154463
oct3437444450
91208455250
10478038312
11225927294
12114116660
1378065b0b
14476ba2da
152be7aeac
hex1c7e4928

478038312 has 48 divisors (see below), whose sum is σ = 1295716500. Its totient is φ = 159219456.

The previous prime is 478038307. The next prime is 478038331. The reversal of 478038312 is 213830874.

It can be written as a sum of positive squares in 2 ways, for example, as 466300836 + 11737476 = 21594^2 + 3426^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147364 + ... + 150572.

Almost surely, 2478038312 is an apocalyptic number.

It is an amenable number.

478038312 is an abundant number, since it is smaller than the sum of its proper divisors (817678188).

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

478038312 is a wasteful number, since it uses less digits than its factorization.

478038312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 478038312 is about 21864.0872665657. The cubic root of 478038312 is about 781.9054400830.

The spelling of 478038312 in words is "four hundred seventy-eight million, thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2069 3209 4138 6207 6418 8276 9627 12414 12836 16552 18621 19254 24828 25672 28881 37242 38508 49656 57762 74484 77016 115524 148968 231048 6639421 13278842 19918263 26557684 39836526 53115368 59754789 79673052 119509578 159346104 239019156 478038312