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38352748 = 22717197409
BaseRepresentation
bin1001001001001…
…1011101101100
32200011112002011
42102103131230
534304241443
63450011004
7643664410
oct222233554
980145064
1038352748
111a715a95
1210a16a64
137c3ab45
145144d40
153578b9d
hex249376c

38352748 has 48 divisors (see below), whose sum is σ = 81829440. Its totient is φ = 15353856.

The previous prime is 38352701. The next prime is 38352751. The reversal of 38352748 is 84725383.

38352748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×383527483 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38352748.

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, 93568 + ... + 93976.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 238352748 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 38352748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40914720).

38352748 is an abundant number, since it is smaller than the sum of its proper divisors (43476692).

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

38352748 is a wasteful number, since it uses less digits than its factorization.

38352748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 38352748 is about 6192.9595509740. The cubic root of 38352748 is about 337.2346277926.

The spelling of 38352748 in words is "thirty-eight million, three hundred fifty-two thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 197 238 394 409 476 788 818 1379 1636 2758 2863 3349 5516 5726 6698 6953 11452 13396 13906 23443 27812 46886 48671 80573 93772 97342 161146 194684 322292 564011 1128022 1369741 2256044 2739482 5478964 9588187 19176374 38352748