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38282140 = 225131131303
BaseRepresentation
bin1001001000001…
…0001110011100
32200000221020001
42102002032130
534300012030
63444304044
7643251511
oct222021634
980027201
1038282140
111a677a36
12109a2024
137c14970
145127308
153562cca
hex248239c

38282140 has 48 divisors (see below), whose sum is σ = 87409728. Its totient is φ = 13999104.

The previous prime is 38282107. The next prime is 38282141. The reversal of 38282140 is 4128283.

It is a junction number, because it is equal to n+sod(n) for n = 38282099 and 38282108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38282141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28729 + ... + 30031.

It is an arithmetic number, because the mean of its divisors is an integer number (1821036).

Almost surely, 238282140 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 38282140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43704864).

38282140 is an abundant number, since it is smaller than the sum of its proper divisors (49127588).

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

38282140 is a wasteful number, since it uses less digits than its factorization.

38282140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 38282140 is about 6187.2562578254. The cubic root of 38282140 is about 337.0275492804.

The spelling of 38282140 in words is "thirty-eight million, two hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1303 1469 2260 2606 2938 5212 5876 6515 7345 13030 14690 16939 26060 29380 33878 67756 84695 147239 169390 294478 338780 588956 736195 1472390 1914107 2944780 3828214 7656428 9570535 19141070 38282140