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38198550 = 235213191031
BaseRepresentation
bin1001000110110…
…1110100010110
32122212200120010
42101231310112
534234323200
63442421050
7642453015
oct221556426
978780503
1038198550
111a620155
1210961786
137bb58c0
145104a7c
153548150
hex246dd16

38198550 has 96 divisors (see below), whose sum is σ = 107493120. Its totient is φ = 8899200.

The previous prime is 38198543. The next prime is 38198551. The reversal of 38198550 is 5589183.

38198550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 38198499 and 38198508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38198551) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36535 + ... + 37565.

It is an arithmetic number, because the mean of its divisors is an integer number (1119720).

Almost surely, 238198550 is an apocalyptic number.

38198550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38198550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746560).

38198550 is an abundant number, since it is smaller than the sum of its proper divisors (69294570).

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

38198550 is a wasteful number, since it uses less digits than its factorization.

38198550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 38198550 is about 6180.4975527865. The cubic root of 38198550 is about 336.7820678574.

The spelling of 38198550 in words is "thirty-eight million, one hundred ninety-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 285 325 390 475 494 570 650 741 950 975 1031 1235 1425 1482 1950 2062 2470 2850 3093 3705 5155 6175 6186 7410 10310 12350 13403 15465 18525 19589 25775 26806 30930 37050 39178 40209 51550 58767 67015 77325 80418 97945 117534 134030 154650 195890 201045 254657 293835 335075 402090 489725 509314 587670 670150 763971 979450 1005225 1273285 1469175 1527942 2010450 2546570 2938350 3819855 6366425 7639710 12732850 19099275 38198550