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38919468 = 2237597853
BaseRepresentation
bin1001010001110…
…1110100101100
32201020022110210
42110131310230
534430410333
63510102420
7651544560
oct224356454
981208423
1038919468
111aa72855
121104aa10
1380a8a93
1452516a0
15363ba63
hex251dd2c

38919468 has 48 divisors (see below), whose sum is σ = 105557760. Its totient is φ = 10929984.

The previous prime is 38919457. The next prime is 38919469. The reversal of 38919468 is 86491983.

38919468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38919469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030 + ... + 8882.

It is an arithmetic number, because the mean of its divisors is an integer number (2199120).

Almost surely, 238919468 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 38919468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880).

38919468 is an abundant number, since it is smaller than the sum of its proper divisors (66638292).

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

38919468 is a wasteful number, since it uses less digits than its factorization.

38919468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7924 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 38919468 is about 6238.5469462047. The cubic root of 38919468 is about 338.8875637600.

The spelling of 38919468 in words is "thirty-eight million, nine hundred nineteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 7853 15706 23559 31412 47118 54971 94236 109942 164913 219884 329826 463327 659652 926654 1389981 1853308 2779962 3243289 5559924 6486578 9729867 12973156 19459734 38919468