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38097675 = 3352711733
BaseRepresentation
bin1001000101010…
…1001100001011
32122200120012000
42101111030023
534223111200
63440322043
7641552640
oct221251413
978616160
1038097675
111a561390
1210913323
137b7ba05
1450b9dc7
153528300
hex245530b

38097675 has 96 divisors (see below), whose sum is σ = 87375360. Its totient is φ = 15811200.

The previous prime is 38097659. The next prime is 38097701. The reversal of 38097675 is 57679083.

It is a happy number.

It is not a de Polignac number, because 38097675 - 24 = 38097659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 38097675.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 51609 + ... + 52341.

It is an arithmetic number, because the mean of its divisors is an integer number (910160).

Almost surely, 238097675 is an apocalyptic number.

38097675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38097675 is an abundant number, since it is smaller than the sum of its proper divisors (49277685).

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

38097675 is a wasteful number, since it uses less digits than its factorization.

38097675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 38097675 is about 6172.3314071751. The cubic root of 38097675 is about 336.4853476911.

The spelling of 38097675 in words is "thirty-eight million, ninety-seven thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 135 165 175 189 225 231 275 297 315 385 495 525 675 693 733 825 945 1155 1485 1575 1925 2079 2199 2475 3465 3665 4725 5131 5775 6597 7425 8063 10395 10995 15393 17325 18325 19791 24189 25655 32985 40315 46179 51975 54975 56441 72567 76965 98955 120945 128275 138537 164925 169323 201575 217701 230895 282205 362835 384825 494775 507969 604725 692685 846615 1088505 1154475 1411025 1523907 1814175 2539845 3463425 4233075 5442525 7619535 12699225 38097675