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38290000 = 24547547
BaseRepresentation
bin1001001000010…
…0001001010000
32200001100000011
42102010021100
534300240000
63444404304
7643313440
oct222041120
980040004
1038290000
111a682931
12109a6694
137c18408
14512a120
1535652ba
hex2484250

38290000 has 100 divisors (see below), whose sum is σ = 106141024. Its totient is φ = 13104000.

The previous prime is 38289971. The next prime is 38290003. The reversal of 38290000 is 9283.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×382900002 = 2932248200000000, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38290003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69727 + ... + 70273.

Almost surely, 238290000 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 38290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53070512).

38290000 is an abundant number, since it is smaller than the sum of its proper divisors (67851024).

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

38290000 is an equidigital number, since it uses as much as digits as its factorization.

38290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 38290000 is about 6187.8914017620. The cubic root of 38290000 is about 337.0506136063.

Adding to 38290000 its reverse (9283), we get a palindrome (38299283).

The spelling of 38290000 in words is "thirty-eight million, two hundred ninety thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 547 560 625 700 875 1000 1094 1250 1400 1750 2000 2188 2500 2735 2800 3500 3829 4375 4376 5000 5470 7000 7658 8750 8752 10000 10940 13675 14000 15316 17500 19145 21880 27350 30632 35000 38290 43760 54700 61264 68375 70000 76580 95725 109400 136750 153160 191450 218800 273500 306320 341875 382900 478625 547000 683750 765800 957250 1094000 1367500 1531600 1914500 2393125 2735000 3829000 4786250 5470000 7658000 9572500 19145000 38290000