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38830000 = 245411353
BaseRepresentation
bin1001010000011…
…1111110110000
32201001202202011
42110013332300
534420030000
63504132304
7651022666
oct224077660
981052664
1038830000
111aa11610
1211007094
138077141
14522ac36
1536202ba
hex2507fb0

38830000 has 100 divisors (see below), whose sum is σ = 102848328. Its totient is φ = 14080000.

The previous prime is 38829991. The next prime is 38830007. The reversal of 38830000 is 3883.

38830000 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 (100).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (38830007) 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 19 ways as a sum of consecutive naturals, for example, 109824 + ... + 110176.

Almost surely, 238830000 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 38830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51424164).

38830000 is an abundant number, since it is smaller than the sum of its proper divisors (64018328).

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

38830000 is a wasteful number, since it uses less digits than its factorization.

38830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 38830000 is about 6231.3722405262. The cubic root of 38830000 is about 338.6276864912.

Adding to 38830000 its reverse (3883), we get a palindrome (38833883).

Multiplying 38830000 by its reverse (3883), we get a square (150776890000 = 3883002).

38830000 divided by its reverse (3883) gives a 4-th power (10000 = 104).

It can be divided in two parts, 38 and 830000, that added together give a palindrome (830038).

The spelling of 38830000 in words is "thirty-eight million, eight hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 353 400 440 500 550 625 706 880 1000 1100 1250 1375 1412 1765 2000 2200 2500 2750 2824 3530 3883 4400 5000 5500 5648 6875 7060 7766 8825 10000 11000 13750 14120 15532 17650 19415 22000 27500 28240 31064 35300 38830 44125 55000 62128 70600 77660 88250 97075 110000 141200 155320 176500 194150 220625 310640 353000 388300 441250 485375 706000 776600 882500 970750 1553200 1765000 1941500 2426875 3530000 3883000 4853750 7766000 9707500 19415000 38830000