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38289240 = 23335112293
BaseRepresentation
bin1001001000001…
…1111101011000
32200001021222000
42102003331120
534300223430
63444401000
7643311303
oct222037530
980037860
1038289240
111a682300
12109a6160
137c17c72
145129b3a
153564e60
hex2483f58

38289240 has 192 divisors, whose sum is σ = 140767200. Its totient is φ = 9250560.

The previous prime is 38289239. The next prime is 38289257. The reversal of 38289240 is 4298283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38289195 and 38289204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130534 + ... + 130826.

Almost surely, 238289240 is an apocalyptic number.

38289240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38289240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383600).

38289240 is an abundant number, since it is smaller than the sum of its proper divisors (102477960).

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

38289240 is a wasteful number, since it uses less digits than its factorization.

38289240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38289240 is about 6187.8299912005. The cubic root of 38289240 is about 337.0483836057.

The spelling of 38289240 in words is "thirty-eight million, two hundred eighty-nine thousand, two hundred forty".