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38123850 = 2352416199
BaseRepresentation
bin1001000101101…
…1100101001010
32122201220002110
42101123211022
534224430400
63441043150
7642022152
oct221334512
978656073
1038123850
111a57a016
12109264b6
137b8a8bb
1450c5762
153530e50
hex245b94a

38123850 has 48 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 9916800.

The previous prime is 38123819. The next prime is 38123851. The reversal of 38123850 is 5832183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38123851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3051 + ... + 9249.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 238123850 is an apocalyptic number.

38123850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38123850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

38123850 is an abundant number, since it is smaller than the sum of its proper divisors (58744950).

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

38123850 is a wasteful number, since it uses less digits than its factorization.

38123850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38123850 is about 6174.4513926340. The cubic root of 38123850 is about 336.5623907799.

The spelling of 38123850 in words is "thirty-eight million, one hundred twenty-three thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1025 1230 2050 3075 6150 6199 12398 18597 30995 37194 61990 92985 154975 185970 254159 309950 464925 508318 762477 929850 1270795 1524954 2541590 3812385 6353975 7624770 12707950 19061925 38123850