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38975202 = 2337234483
BaseRepresentation
bin1001010010101…
…1011011100010
32201100010221000
42110223123202
534434201302
63511212430
7652166220
oct224533342
981303830
1038975202
1120000712
1211077116
1380c8266
145267b10
15364d31c
hex252b6e2

38975202 has 64 divisors (see below), whose sum is σ = 103311360. Its totient is φ = 10649232.

The previous prime is 38975201. The next prime is 38975207. The reversal of 38975202 is 20257983.

It is a happy number.

38975202 is a `hidden beast` number, since 389 + 75 + 202 = 666.

38975202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38975201) 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 31 ways as a sum of consecutive naturals, for example, 6453 + ... + 10935.

It is an arithmetic number, because the mean of its divisors is an integer number (1614240).

Almost surely, 238975202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38975202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51655680).

38975202 is an abundant number, since it is smaller than the sum of its proper divisors (64336158).

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

38975202 is a wasteful number, since it uses less digits than its factorization.

38975202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38975202 is about 6243.0122537121. The cubic root of 38975202 is about 339.0492527702.

The spelling of 38975202 in words is "thirty-eight million, nine hundred seventy-five thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 4483 8694 8966 13449 26898 31381 40347 62762 80694 94143 103109 121041 188286 206218 242082 282429 309327 564858 618654 721763 847287 927981 1443526 1694574 1855962 2165289 2783943 4330578 5567886 6495867 12991734 19487601 38975202