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379398592 = 2637533023
BaseRepresentation
bin10110100111010…
…010100111000000
3222102220110000201
4112213102213000
51234111223332
6101351454544
712254556226
oct2647224700
9872813021
10379398592
11185184861
12a7087454
13607aa511
1438560b16
15234945e7
hex169d29c0

379398592 has 56 divisors (see below), whose sum is σ = 788066496. Its totient is φ = 181029888.

The previous prime is 379398587. The next prime is 379398611. The reversal of 379398592 is 295893973.

It is a super-2 number, since 2×3793985922 = 287886583223164928, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 123993 + ... + 127015.

It is an arithmetic number, because the mean of its divisors is an integer number (14072616).

Almost surely, 2379398592 is an apocalyptic number.

379398592 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 379398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394033248).

379398592 is an abundant number, since it is smaller than the sum of its proper divisors (408667904).

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

379398592 is a wasteful number, since it uses less digits than its factorization.

379398592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3115 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 55.

The square root of 379398592 is about 19478.1567916474. The cubic root of 379398592 is about 723.9333292290.

It can be divided in two parts, 37 and 9398592, that multiplied together give a square (347747904 = 186482).

The spelling of 379398592 in words is "three hundred seventy-nine million, three hundred ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 148 212 296 424 592 848 1184 1696 1961 2368 3023 3392 3922 6046 7844 12092 15688 24184 31376 48368 62752 96736 111851 125504 160219 193472 223702 320438 447404 640876 894808 1281752 1789616 2563504 3579232 5127008 5928103 7158464 10254016 11856206 23712412 47424824 94849648 189699296 379398592