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378205472 = 25291512699
BaseRepresentation
bin10110100010101…
…111010100100000
3222100122211101002
4112202233110200
51233310033342
6101310131132
712241456601
oct2642572440
9870584332
10378205472
1118453a407
12a67b0aa8
1360480428
143832dda8
hex168af520

378205472 has 48 divisors (see below), whose sum is σ = 775656000. Its totient is φ = 181305600.

The previous prime is 378205459. The next prime is 378205483. The reversal of 378205472 is 274502873.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138779 + ... + 141477.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2378205472 is an apocalyptic number.

378205472 is a gapful number since it is divisible by the number (32) 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 378205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828000).

378205472 is an abundant number, since it is smaller than the sum of its proper divisors (397450528).

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

378205472 is a wasteful number, since it uses less digits than its factorization.

378205472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 378205472 is about 19447.5055469847. The cubic root of 378205472 is about 723.1736652444.

The spelling of 378205472 in words is "three hundred seventy-eight million, two hundred five thousand, four hundred seventy-two".