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38139288 = 23311731979
BaseRepresentation
bin1001000101111…
…1010110011000
32122202200021020
42101133112120
534230424123
63441242440
7642115155
oct221372630
978680236
1038139288
111a58a680
1210933420
137b94935
1450cb22c
1535357e3
hex245f598

38139288 has 64 divisors (see below), whose sum is σ = 105494400. Its totient is φ = 11393280.

The previous prime is 38139271. The next prime is 38139329. The reversal of 38139288 is 88293183.

38139288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 18283 + ... + 20261.

It is an arithmetic number, because the mean of its divisors is an integer number (1648350).

Almost surely, 238139288 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 38139288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52747200).

38139288 is an abundant number, since it is smaller than the sum of its proper divisors (67355112).

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

38139288 is a wasteful number, since it uses less digits than its factorization.

38139288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 38139288 is about 6175.7014176529. The cubic root of 38139288 is about 336.6078142179.

The spelling of 38139288 in words is "thirty-eight million, one hundred thirty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 1979 2409 3212 3958 4818 5937 6424 7916 9636 11874 15832 19272 21769 23748 43538 47496 65307 87076 130614 144467 174152 261228 288934 433401 522456 577868 866802 1155736 1589137 1733604 3178274 3467208 4767411 6356548 9534822 12713096 19069644 38139288