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38524672 = 28612467
BaseRepresentation
bin1001001011110…
…1011100000000
32200111020220201
42102331130000
534330242142
63453414544
7645311554
oct222753400
980436821
1038524672
111a82317a
1210a9a454
137c9b184
14518b864
1535aeab7
hex24bd700

38524672 has 36 divisors (see below), whose sum is σ = 78191176. Its totient is φ = 18938880.

The previous prime is 38524637. The next prime is 38524679. The reversal of 38524672 is 27642583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38524679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14383 + ... + 16849.

Almost surely, 238524672 is an apocalyptic number.

38524672 is a gapful number since it is divisible by the number (32) 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 38524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39095588).

38524672 is an abundant number, since it is smaller than the sum of its proper divisors (39666504).

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

38524672 is an equidigital number, since it uses as much as digits as its factorization.

38524672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2530 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 38524672 is about 6206.8246310009. The cubic root of 38524672 is about 337.7377843282.

The spelling of 38524672 in words is "thirty-eight million, five hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 2467 3904 4934 7808 9868 15616 19736 39472 78944 150487 157888 300974 315776 601948 631552 1203896 2407792 4815584 9631168 19262336 38524672