Search a number
-
+
379809872 = 241353131263
BaseRepresentation
bin10110101000110…
…111000001010000
3222110200100012022
4112220313001100
51234212403442
6101404351012
712261221261
oct2650670120
9873610168
10379809872
11185435862
12a7245468
13608c2790
143862a968
15235263d2
hex16a37050

379809872 has 80 divisors (see below), whose sum is σ = 816697728. Its totient is φ = 170027520.

The previous prime is 379809853. The next prime is 379809887. The reversal of 379809872 is 278908973.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444013 + ... + 1444275.

Almost surely, 2379809872 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 379809872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348864).

379809872 is an abundant number, since it is smaller than the sum of its proper divisors (436887856).

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

379809872 is a wasteful number, since it uses less digits than its factorization.

379809872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The square root of 379809872 is about 19488.7113991664. The cubic root of 379809872 is about 724.1948235908.

The spelling of 379809872 in words is "three hundred seventy-nine million, eight hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 131 208 212 262 263 424 524 526 689 848 1048 1052 1378 1703 2096 2104 2756 3406 3419 4208 5512 6812 6838 6943 11024 13624 13676 13886 13939 27248 27352 27772 27878 34453 54704 55544 55756 68906 90259 111088 111512 137812 180518 181207 223024 275624 361036 362414 447889 551248 722072 724828 895778 1444144 1449656 1791556 1826009 2899312 3583112 3652018 7166224 7304036 14608072 23738117 29216144 47476234 94952468 189904936 379809872