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38909808 = 243474289
BaseRepresentation
bin1001010001101…
…1011101110000
32201012211020000
42110123131300
534430103213
63505550000
7651504450
oct224333560
981184200
1038909808
111aa66573
1211045300
1380a4572
14524bd60
153638c73
hex251b770

38909808 has 100 divisors (see below), whose sum is σ = 128734320. Its totient is φ = 11114496.

The previous prime is 38909807. The next prime is 38909809. The reversal of 38909808 is 80890983.

38909808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38909807) and next prime (38909809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38909807) 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 19 ways as a sum of consecutive naturals, for example, 6928 + ... + 11216.

Almost surely, 238909808 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 38909808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64367160).

38909808 is an abundant number, since it is smaller than the sum of its proper divisors (89824512).

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

38909808 is a wasteful number, since it uses less digits than its factorization.

38909808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 38909808 is about 6237.7726794105. The cubic root of 38909808 is about 338.8595235964.

The spelling of 38909808 in words is "thirty-eight million, nine hundred nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4289 4536 8578 9072 12867 17156 25734 30023 34312 38601 51468 60046 68624 77202 90069 102936 115803 120092 154404 180138 205872 231606 240184 270207 308808 347409 360276 463212 480368 540414 617616 694818 720552 810621 926424 1080828 1389636 1441104 1621242 1852848 2161656 2431863 2779272 3242484 4323312 4863726 5558544 6484968 9727452 12969936 19454904 38909808