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38000028 = 22311479601
BaseRepresentation
bin1001000011110…
…1010110011100
32122111121020110
42100331112130
534212000103
63434250020
7640665153
oct220752634
978447213
1038000028
111a4a4a90
1210886910
137b46431
14509259a
153509403
hex243d59c

38000028 has 48 divisors (see below), whose sum is σ = 97090560. Its totient is φ = 11472000.

The previous prime is 38000009. The next prime is 38000047. The reversal of 38000028 is 82000083.

38000028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38000009) and next prime (38000047).

It is a junction number, because it is equal to n+sod(n) for n = 37999968 and 38000013.

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, 62928 + ... + 63528.

It is an arithmetic number, because the mean of its divisors is an integer number (2022720).

Almost surely, 238000028 is an apocalyptic number.

It is an amenable number.

38000028 is an abundant number, since it is smaller than the sum of its proper divisors (59090532).

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

38000028 is a wasteful number, since it uses less digits than its factorization.

38000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38000028 is about 6164.4162740685. The cubic root of 38000028 is about 336.1976232547.

The spelling of 38000028 in words is "thirty-eight million, twenty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 479 601 958 1202 1437 1803 1916 2404 2874 3606 5269 5748 6611 7212 10538 13222 15807 19833 21076 26444 31614 39666 63228 79332 287879 575758 863637 1151516 1727274 3166669 3454548 6333338 9500007 12666676 19000014 38000028