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38482938 = 235136091
BaseRepresentation
bin1001001011001…
…1001111111010
32200102010200000
42102303033322
534322423223
63452453430
7645046104
oct222631772
980363600
1038482938
111a7a488a
1210a7a276
137c85190
14517a574
1535a2543
hex24b33fa

38482938 has 48 divisors (see below), whose sum is σ = 93134496. Its totient is φ = 11838960.

The previous prime is 38482937. The next prime is 38482943. The reversal of 38482938 is 83928483.

It is a super-2 number, since 2×384829382 = 2961873034223688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38482893 and 38482902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38482937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3273 + ... + 9363.

It is an arithmetic number, because the mean of its divisors is an integer number (1940302).

Almost surely, 238482938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38482938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46567248).

38482938 is an abundant number, since it is smaller than the sum of its proper divisors (54651558).

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

38482938 is a wasteful number, since it uses less digits than its factorization.

38482938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6109 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 38482938 is about 6203.4617754928. The cubic root of 38482938 is about 337.6157824974.

It can be divided in two parts, 3848 and 2938, that added together give a triangular number (6786 = T116).

The spelling of 38482938 in words is "thirty-eight million, four hundred eighty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6091 6318 12182 18273 36546 54819 79183 109638 158366 164457 237549 328914 475098 493371 712647 986742 1425294 1480113 2137941 2960226 4275882 6413823 12827646 19241469 38482938