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38228864 = 27973079
BaseRepresentation
bin1001000111010…
…1001110000000
32122221020010212
42101311032000
534241310424
63443213252
7642640262
oct221651600
978836125
1038228864
111a640a03
1210977228
137bc663b
145111b32
15355210e
hex2475380

38228864 has 32 divisors (see below), whose sum is σ = 76969200. Its totient is φ = 18911232.

The previous prime is 38228863. The next prime is 38228867. The reversal of 38228864 is 46882283.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×382288642 = 2922892085460992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38228863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10877 + ... + 13955.

Almost surely, 238228864 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 38228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38484600).

38228864 is an abundant number, since it is smaller than the sum of its proper divisors (38740336).

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

38228864 is an equidigital number, since it uses as much as digits as its factorization.

38228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3178 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 38228864 is about 6182.9494579852. The cubic root of 38228864 is about 336.8711332988.

The spelling of 38228864 in words is "thirty-eight million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3079 3104 6158 6208 12316 12416 24632 49264 98528 197056 298663 394112 597326 1194652 2389304 4778608 9557216 19114432 38228864