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39378372 = 223112691109
BaseRepresentation
bin1001011000110…
…1110111000100
32202002121222020
42112031313010
540040101442
63524003140
7655465515
oct226156704
982077866
1039378372
1120256610
12112304b0
138209917
145330a0c
1536cc9ec
hex258ddc4

39378372 has 48 divisors (see below), whose sum is σ = 100699200. Its totient is φ = 11877760.

The previous prime is 39378359. The next prime is 39378373. The reversal of 39378372 is 27387393.

39378372 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 (39378373) 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, 34954 + ... + 36062.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 239378372 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 39378372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349600).

39378372 is an abundant number, since it is smaller than the sum of its proper divisors (61320828).

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

39378372 is a wasteful number, since it uses less digits than its factorization.

39378372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 39378372 is about 6275.2188806447. The cubic root of 39378372 is about 340.2143170119.

The spelling of 39378372 in words is "thirty-nine million, three hundred seventy-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1109 1614 2218 2959 3228 3327 4436 5918 6654 8877 11836 12199 13308 17754 24398 35508 36597 48796 73194 146388 298321 596642 894963 1193284 1789926 3281531 3579852 6563062 9844593 13126124 19689186 39378372