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379743552 = 26341731139
BaseRepresentation
bin10110101000100…
…110110101000000
3222110112222020000
4112220212311000
51234203243202
6101403120000
712260524026
oct2650466500
9873488200
10379743552
1118539aa51
12a7213000
136089b536
1438610716
152351191c
hex16a26d40

379743552 has 280 divisors, whose sum is σ = 1239194880. Its totient is φ = 114462720.

The previous prime is 379743527. The next prime is 379743613. The reversal of 379743552 is 255347973.

379743552 is a `hidden beast` number, since 3 + 7 + 97 + 4 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 379743498 and 379743507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2731899 + ... + 2732037.

It is an arithmetic number, because the mean of its divisors is an integer number (4425696).

Almost surely, 2379743552 is an apocalyptic number.

379743552 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 379743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619597440).

379743552 is an abundant number, since it is smaller than the sum of its proper divisors (859451328).

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

379743552 is a wasteful number, since it uses less digits than its factorization.

379743552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 379743552 is about 19487.0098270617. The cubic root of 379743552 is about 724.1526696958.

The spelling of 379743552 in words is "three hundred seventy-nine million, seven hundred forty-three thousand, five hundred fifty-two".