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378793248 = 25312731069
BaseRepresentation
bin10110100100111…
…110110100100000
3222101202200122120
4112210332310200
51233432340443
6101330504240
712246455331
oct2644766440
9871680576
10378793248
11184900a79
12a6a35080
1360627b22
1438444288
15233c5083
hex1693ed20

378793248 has 48 divisors (see below), whose sum is σ = 1002193920. Its totient is φ = 125266176.

The previous prime is 378793213. The next prime is 378793297. The reversal of 378793248 is 842397873.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 378793248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3343 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (20879040).

Almost surely, 2378793248 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 378793248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501096960).

378793248 is an abundant number, since it is smaller than the sum of its proper divisors (623400672).

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

378793248 is a wasteful number, since it uses less digits than its factorization.

378793248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31209 (or 31201 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 378793248 is about 19462.6115411062. The cubic root of 378793248 is about 723.5481037843.

The spelling of 378793248 in words is "three hundred seventy-eight million, seven hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 31069 62138 93207 124276 186414 248552 372828 497104 745656 994208 1491312 2982624 3945763 7891526 11837289 15783052 23674578 31566104 47349156 63132208 94698312 126264416 189396624 378793248