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38096082 = 236172953
BaseRepresentation
bin1001000101010…
…0110011010010
32122200111000000
42101110303102
534223033312
63440310430
7641545203
oct221246322
978614000
1038096082
111a560172
1210912416
137b7b07b
1450b95aa
153527adc
hex2454cd2

38096082 has 112 divisors (see below), whose sum is σ = 95615640. Its totient is φ = 11321856.

The previous prime is 38096059. The next prime is 38096137. The reversal of 38096082 is 28069083.

It can be written as a sum of positive squares in 4 ways, for example, as 37564641 + 531441 = 6129^2 + 729^2 .

It is a super-2 number, since 2×380960822 = 2902622927501448, which contains 22 as substring.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 718768 + ... + 718820.

Almost surely, 238096082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38096082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47807820).

38096082 is an abundant number, since it is smaller than the sum of its proper divisors (57519558).

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

38096082 is a wasteful number, since it uses less digits than its factorization.

38096082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38096082 is about 6172.2023622043. The cubic root of 38096082 is about 336.4806577406.

The spelling of 38096082 in words is "thirty-eight million, ninety-six thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 53 54 58 81 87 102 106 153 159 162 174 243 261 306 318 459 477 486 493 522 729 783 901 918 954 986 1377 1431 1458 1479 1537 1566 1802 2349 2703 2754 2862 2958 3074 4131 4293 4437 4611 4698 5406 7047 8109 8262 8586 8874 9222 12393 12879 13311 13833 14094 16218 21141 24327 24786 25758 26129 26622 27666 38637 39933 41499 42282 48654 52258 72981 77274 78387 79866 82998 119799 124497 145962 156774 218943 235161 239598 248994 359397 373491 437886 470322 656829 705483 718794 746982 1120473 1313658 1410966 2116449 2240946 4232898 6349347 12698694 19048041 38096082