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38188728 = 23321074957
BaseRepresentation
bin1001000110101…
…1011010111000
32122212012002100
42101223122320
534234014403
63442303400
7642412254
oct221533270
978765070
1038188728
111a613836
1210957b60
137bb12a6
145101264
1535452a3
hex246b6b8

38188728 has 48 divisors (see below), whose sum is σ = 104415480. Its totient is φ = 12608064.

The previous prime is 38188723. The next prime is 38188729. The reversal of 38188728 is 82788183.

It is a happy number.

38188728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38188723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5226 + ... + 10182.

Almost surely, 238188728 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 38188728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207740).

38188728 is an abundant number, since it is smaller than the sum of its proper divisors (66226752).

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

38188728 is a wasteful number, since it uses less digits than its factorization.

38188728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5069 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 38188728 is about 6179.7029054802. The cubic root of 38188728 is about 336.7531997718.

The spelling of 38188728 in words is "thirty-eight million, one hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 4957 7704 9914 14871 19828 29742 39656 44613 59484 89226 118968 178452 356904 530399 1060798 1591197 2121596 3182394 4243192 4773591 6364788 9547182 12729576 19094364 38188728