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379879248 = 24379291217
BaseRepresentation
bin10110101001000…
…111111101010000
3222110210212100210
4112221013331100
51234222113443
6101410044120
712261630450
oct2651077520
9873725323
10379879248
111854829a1
12a7279640
1360918228
1438647d60
152353bc33
hex16a47f50

379879248 has 80 divisors (see below), whose sum is σ = 1123678080. Its totient is φ = 108331008.

The previous prime is 379879231. The next prime is 379879273. The reversal of 379879248 is 842978973.

It is a super-2 number, since 2×3798792482 = 288616486122091008, which contains 22 as substring.

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, 311536 + ... + 312752.

It is an arithmetic number, because the mean of its divisors is an integer number (14045976).

Almost surely, 2379879248 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 379879248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561839040).

379879248 is an abundant number, since it is smaller than the sum of its proper divisors (743798832).

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

379879248 is a wasteful number, since it uses less digits than its factorization.

379879248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2158 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 379879248 is about 19490.4912200796. The cubic root of 379879248 is about 724.2389146700.

The spelling of 379879248 in words is "three hundred seventy-nine million, eight hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 929 1217 1858 2434 2787 3651 3716 4868 5574 6503 7302 7432 8519 9736 11148 13006 14604 14864 17038 19472 19509 22296 25557 26012 29208 34076 39018 44592 51114 52024 58416 68152 78036 102228 104048 136304 156072 204456 312144 408912 1130593 2261186 3391779 4522372 6783558 7914151 9044744 13567116 15828302 18089488 23742453 27134232 31656604 47484906 54268464 63313208 94969812 126626416 189939624 379879248