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38413940 = 2259719801
BaseRepresentation
bin1001001010001…
…0011001110100
32200021122000112
42102202121310
534313221230
63451202152
7644340665
oct222423164
980248015
1038413940
111a757a64
1210a46358
137c5c956
14515d36c
15358bd95
hex24a2674

38413940 has 24 divisors (see below), whose sum is σ = 81505032. Its totient is φ = 15206400.

The previous prime is 38413939. The next prime is 38413943. The reversal of 38413940 is 4931483.

It can be written as a sum of positive squares in 4 ways, for example, as 320356 + 38093584 = 566^2 + 6172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38413897 and 38413906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38413943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7961 + ... + 11840.

It is an arithmetic number, because the mean of its divisors is an integer number (3396043).

Almost surely, 238413940 is an apocalyptic number.

It is an amenable number.

38413940 is an abundant number, since it is smaller than the sum of its proper divisors (43091092).

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

38413940 is a wasteful number, since it uses less digits than its factorization.

38413940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19907 (or 19905 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 38413940 is about 6197.8980307843. The cubic root of 38413940 is about 337.4138856655.

The spelling of 38413940 in words is "thirty-eight million, four hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 19801 39602 79204 99005 198010 396020 1920697 3841394 7682788 9603485 19206970 38413940