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38252016 = 243211193141
BaseRepresentation
bin1001000111101…
…0110111110000
32122222101220100
42101322313300
534243031031
63443512400
7643064625
oct221726760
978871810
1038252016
111a657340
1210988700
137c0403a
14511a34c
153558de6
hex247adf0

38252016 has 240 divisors, whose sum is σ = 129991680. Its totient is φ = 10368000.

The previous prime is 38252003. The next prime is 38252017. The reversal of 38252016 is 61025283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38252017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932956 + ... + 932996.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 238252016 is an apocalyptic number.

38252016 is a gapful number since it is divisible by the number (36) 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 38252016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

38252016 is an abundant number, since it is smaller than the sum of its proper divisors (91739664).

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

38252016 is a wasteful number, since it uses less digits than its factorization.

38252016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38252016 is about 6184.8214202190. The cubic root of 38252016 is about 336.9391243902.

Adding to 38252016 its reverse (61025283), we get a palindrome (99277299).

The spelling of 38252016 in words is "thirty-eight million, two hundred fifty-two thousand, sixteen".