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38213648 = 2411297487
BaseRepresentation
bin1001000111000…
…1100000010000
32122220110021022
42101301200100
534240314043
63443015012
7642545024
oct221614020
978813238
1038213648
111a630530
121096a468
137bbc735
14510a384
15354c868
hex2471810

38213648 has 40 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 16768640.

The previous prime is 38213641. The next prime is 38213657. The reversal of 38213648 is 84631283.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38213641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361 + ... + 8847.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 238213648 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 38213648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

38213648 is an abundant number, since it is smaller than the sum of its proper divisors (45352432).

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

38213648 is a wasteful number, since it uses less digits than its factorization.

38213648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7529 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 38213648 is about 6181.7188548170. The cubic root of 38213648 is about 336.8264331182.

The spelling of 38213648 in words is "thirty-eight million, two hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 7487 14974 29948 59896 82357 119792 164714 217123 329428 434246 658856 868492 1317712 1736984 2388353 3473968 4776706 9553412 19106824 38213648