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378598752 = 25337591061
BaseRepresentation
bin10110100100001…
…111010101100000
3222101101210212000
4112210033111200
51233410130002
6101322404000
712245015310
oct2644172540
9871353760
10378598752
11184788934
12a6960600
136058a43c
14383d3440
152338761c
hex1690f560

378598752 has 192 divisors, whose sum is σ = 1284595200. Its totient is φ = 106237440.

The previous prime is 378598739. The next prime is 378598813. The reversal of 378598752 is 257895873.

378598752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 356302 + ... + 357362.

It is an arithmetic number, because the mean of its divisors is an integer number (6690600).

Almost surely, 2378598752 is an apocalyptic number.

378598752 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 378598752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642297600).

378598752 is an abundant number, since it is smaller than the sum of its proper divisors (905996448).

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

378598752 is a wasteful number, since it uses less digits than its factorization.

378598752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1132 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 378598752 is about 19457.6142422446. The cubic root of 378598752 is about 723.4242443917.

The spelling of 378598752 in words is "three hundred seventy-eight million, five hundred ninety-eight thousand, seven hundred fifty-two".