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38254000 = 245331617
BaseRepresentation
bin1001000111101…
…1010110110000
32122222111121211
42101323112300
534243112000
63443525504
7643103461
oct221732660
978874554
1038254000
111a658884
1210989894
137c04c05
14511ad68
1535597ba
hex247b5b0

38254000 has 80 divisors (see below), whose sum is σ = 95636736. Its totient is φ = 14784000.

The previous prime is 38253997. The next prime is 38254009. The reversal of 38254000 is 45283.

38254000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (38254009) 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 15 ways as a sum of consecutive naturals, for example, 61692 + ... + 62308.

Almost surely, 238254000 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 38254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47818368).

38254000 is an abundant number, since it is smaller than the sum of its proper divisors (57382736).

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

38254000 is a wasteful number, since it uses less digits than its factorization.

38254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 38254000 is about 6184.9818108059. The cubic root of 38254000 is about 336.9449495792.

Adding to 38254000 its reverse (45283), we get a palindrome (38299283).

The spelling of 38254000 in words is "thirty-eight million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 617 620 775 1000 1234 1240 1550 2000 2468 2480 3085 3100 3875 4936 6170 6200 7750 9872 12340 12400 15425 15500 19127 24680 30850 31000 38254 49360 61700 62000 76508 77125 95635 123400 153016 154250 191270 246800 306032 308500 382540 478175 617000 765080 956350 1234000 1530160 1912700 2390875 3825400 4781750 7650800 9563500 19127000 38254000