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38128321 = 7211127557
BaseRepresentation
bin1001000101110…
…0101011000001
32122202010020001
42101130223001
534230101241
63441120001
7642041200
oct221345301
978663201
1038128321
111a582410
1210929001
137b8c94a
1450c7237
153532431
hex245cac1

38128321 has 24 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 29423520.

The previous prime is 38128303. The next prime is 38128351. The reversal of 38128321 is 12382183.

It is not a de Polignac number, because 38128321 - 211 = 38126273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38128321.

It is not an unprimeable number, because it can be changed into a prime (38128351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68175 + ... + 68731.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 238128321 is an apocalyptic number.

It is an amenable number.

38128321 is a deficient number, since it is larger than the sum of its proper divisors (10725695).

38128321 is a wasteful number, since it uses less digits than its factorization.

38128321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 38128321 is about 6174.8134384773. The cubic root of 38128321 is about 336.5755471254.

Adding to 38128321 its product of digits (2304), we get a square (38130625 = 61752).

The spelling of 38128321 in words is "thirty-eight million, one hundred twenty-eight thousand, three hundred twenty-one".

Divisors: 1 7 11 49 77 127 539 557 889 1397 3899 6127 6223 9779 27293 42889 68453 70739 300223 495173 778129 3466211 5446903 38128321