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379808 = 25111383
BaseRepresentation
bin1011100101110100000
3201021222222
41130232200
544123213
612050212
73141212
oct1345640
9637888
10379808
1123a3a0
12163968
13103b50
149c5b2
1577808
hex5cba0

379808 has 48 divisors (see below), whose sum is σ = 889056. Its totient is φ = 157440.

The previous prime is 379787. The next prime is 379811. The reversal of 379808 is 808973.

It is an unprimeable number.

379808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4535 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2379808 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 379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528).

379808 is an abundant number, since it is smaller than the sum of its proper divisors (509248).

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

379808 is a wasteful number, since it uses less digits than its factorization.

379808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 379808 is about 616.2856480562. The cubic root of 379808 is about 72.4193633789.

The spelling of 379808 in words is "three hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 83 88 104 143 166 176 208 286 332 352 416 572 664 913 1079 1144 1328 1826 2158 2288 2656 3652 4316 4576 7304 8632 11869 14608 17264 23738 29216 34528 47476 94952 189904 379808