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39890900 = 2252731163
BaseRepresentation
bin1001100000101…
…0111111010100
32210001200000202
42120022333110
540203002100
63543000032
7663032000
oct230127724
983050022
1039890900
1120576695
1211439018
138358caa
145425700
15377e7d5
hex260afd4

39890900 has 72 divisors (see below), whose sum is σ = 101035200. Its totient is φ = 13665120.

The previous prime is 39890881. The next prime is 39890933. The reversal of 39890900 is 909893.

39890900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33719 + ... + 34881.

Almost surely, 239890900 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 39890900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50517600).

39890900 is an abundant number, since it is smaller than the sum of its proper divisors (61144300).

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

39890900 is a wasteful number, since it uses less digits than its factorization.

39890900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 39890900 is about 6315.9243187359. The cubic root of 39890900 is about 341.6839755921.

The spelling of 39890900 in words is "thirty-nine million, eight hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1163 1225 1372 1715 2326 2450 3430 4652 4900 5815 6860 8141 8575 11630 16282 17150 23260 29075 32564 34300 40705 56987 58150 81410 113974 116300 162820 203525 227948 284935 398909 407050 569870 797818 814100 1139740 1424675 1595636 1994545 2849350 3989090 5698700 7978180 9972725 19945450 39890900