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38250368 = 2713127181
BaseRepresentation
bin1001000111101…
…0011110000000
32122222022122022
42101322132000
534243002433
63443501012
7643060052
oct221723600
978868568
1038250368
111a656082
1210987768
137c03370
1451198d2
153558698
hex247a780

38250368 has 64 divisors (see below), whose sum is σ = 83166720. Its totient is φ = 17418240.

The previous prime is 38250347. The next prime is 38250371. The reversal of 38250368 is 86305283.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 211238 + ... + 211418.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 238250368 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 38250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41583360).

38250368 is an abundant number, since it is smaller than the sum of its proper divisors (44916352).

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

38250368 is a wasteful number, since it uses less digits than its factorization.

38250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 38250368 is about 6184.6881893916. The cubic root of 38250368 is about 336.9342855720.

The spelling of 38250368 in words is "thirty-eight million, two hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 181 208 254 362 416 508 724 832 1016 1448 1651 1664 2032 2353 2896 3302 4064 4706 5792 6604 8128 9412 11584 13208 16256 18824 22987 23168 26416 37648 45974 52832 75296 91948 105664 150592 183896 211328 298831 301184 367792 597662 735584 1195324 1471168 2390648 2942336 4781296 9562592 19125184 38250368