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39447940 = 2257240253
BaseRepresentation
bin1001011001111…
…0110110000100
32202020011101211
42112132312010
540044313230
63525301204
7656205400
oct226366604
982204354
1039447940
11202a3904
1211264804
13823249c
14534c100
1536e342a
hex259ed84

39447940 has 36 divisors (see below), whose sum is σ = 96368076. Its totient is φ = 13524672.

The previous prime is 39447937. The next prime is 39447943. The reversal of 39447940 is 4974493.

39447940 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 (39447937) and next prime (39447943).

It can be written as a sum of positive squares in 2 ways, for example, as 24840256 + 14607684 = 4984^2 + 3822^2 .

It is a super-3 number, since 3×394479403 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 39447893 and 39447902.

It is not an unprimeable number, because it can be changed into a prime (39447943) 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 11 ways as a sum of consecutive naturals, for example, 19147 + ... + 21106.

It is an arithmetic number, because the mean of its divisors is an integer number (2676891).

Almost surely, 239447940 is an apocalyptic number.

It is an amenable number.

39447940 is an abundant number, since it is smaller than the sum of its proper divisors (56920136).

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

39447940 is a wasteful number, since it uses less digits than its factorization.

39447940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40276 (or 40267 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 39447940 is about 6280.7595082124. The cubic root of 39447940 is about 340.4145462606.

The spelling of 39447940 in words is "thirty-nine million, four hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 40253 80506 161012 201265 281771 402530 563542 805060 1127084 1408855 1972397 2817710 3944794 5635420 7889588 9861985 19723970 39447940