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381475728 = 24322649137
BaseRepresentation
bin10110101111001…
…101101110010000
3222120210222022200
4112233031232100
51240124210403
6101504203200
712311330064
oct2657155620
9876728280
10381475728
111863733a7
12a7909500
1361056aaa
1438941aa4
1523754ca3
hex16bcdb90

381475728 has 30 divisors (see below), whose sum is σ = 1067602614. Its totient is φ = 127158528.

The previous prime is 381475709. The next prime is 381475751. The reversal of 381475728 is 827574183.

381475728 is a `hidden beast` number, since 38 + 1 + 47 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 300259584 + 81216144 = 17328^2 + 9012^2 .

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, 1324425 + ... + 1324712.

Almost surely, 2381475728 is an apocalyptic number.

It is an amenable number.

381475728 is an abundant number, since it is smaller than the sum of its proper divisors (686126886).

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

381475728 is a wasteful number, since it uses less digits than its factorization.

381475728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649151 (or 2649142 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 381475728 is about 19531.4036361957. The cubic root of 381475728 is about 725.2520585326.

The spelling of 381475728 in words is "three hundred eighty-one million, four hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2649137 5298274 7947411 10596548 15894822 21193096 23842233 31789644 42386192 47684466 63579288 95368932 127158576 190737864 381475728