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379857856 = 2672773061
BaseRepresentation
bin10110101001000…
…010101111000000
3222110202210000111
4112221002233000
51234220422411
6101405401104
712261511210
oct2651025700
9873683014
10379857856
11185468914
12a7269194
136090b581
1438640240
1523535721
hex16a42bc0

379857856 has 56 divisors (see below), whose sum is σ = 864855776. Its totient is φ = 162155520.

The previous prime is 379857853. The next prime is 379857887. The reversal of 379857856 is 658758973.

379857856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 379857856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379857851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122566 + ... + 125626.

Almost surely, 2379857856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432427888).

379857856 is an abundant number, since it is smaller than the sum of its proper divisors (484997920).

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

379857856 is a wasteful number, since it uses less digits than its factorization.

379857856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3347 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 58.

The square root of 379857856 is about 19489.9424319314. The cubic root of 379857856 is about 724.2253198151.

The spelling of 379857856 in words is "three hundred seventy-nine million, eight hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 277 448 554 1108 1939 2216 3061 3878 4432 6122 7756 8864 12244 15512 17728 21427 24488 31024 42854 48976 62048 85708 97952 124096 171416 195904 342832 685664 847897 1371328 1695794 3391588 5935279 6783176 11870558 13566352 23741116 27132704 47482232 54265408 94964464 189928928 379857856