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379785150 = 232522633209
BaseRepresentation
bin10110101000110…
…000111110111110
3222110122002021200
4112220300332332
51234211111100
6101404040330
712261056223
oct2650607676
9873562250
10379785150
11185419228
12a72330a6
13608b4454
143862194a
152351de00
hex16a30fbe

379785150 has 72 divisors (see below), whose sum is σ = 1024554960. Its totient is φ = 100859520.

The previous prime is 379785137. The next prime is 379785157. The reversal of 379785150 is 51587973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 379785096 and 379785105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379785157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116746 + ... + 119954.

It is an arithmetic number, because the mean of its divisors is an integer number (14229930).

Almost surely, 2379785150 is an apocalyptic number.

379785150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379785150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512277480).

379785150 is an abundant number, since it is smaller than the sum of its proper divisors (644769810).

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

379785150 is a wasteful number, since it uses less digits than its factorization.

379785150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 379785150 is about 19488.0771242316. The cubic root of 379785150 is about 724.1791105247.

The spelling of 379785150 in words is "three hundred seventy-nine million, seven hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 263 450 526 789 1315 1578 2367 2630 3209 3945 4734 6418 6575 7890 9627 11835 13150 16045 19254 19725 23670 28881 32090 39450 48135 57762 59175 80225 96270 118350 144405 160450 240675 288810 481350 722025 843967 1444050 1687934 2531901 4219835 5063802 7595703 8439670 12659505 15191406 21099175 25319010 37978515 42198350 63297525 75957030 126595050 189892575 379785150