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38385048 = 23313177237
BaseRepresentation
bin1001001001101…
…1010110011000
32200020011101110
42102123112120
534311310143
63450420320
7644160522
oct222332630
980204343
1038385048
111a738289
1210a316a0
137c4c760
145152a12
153583533
hex249b598

38385048 has 64 divisors (see below), whose sum is σ = 109438560. Its totient is φ = 11114496.

The previous prime is 38385047. The next prime is 38385097. The reversal of 38385048 is 84058383.

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 = 38384997 and 38385015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686 + ... + 8922.

Almost surely, 238385048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38385048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54719280).

38385048 is an abundant number, since it is smaller than the sum of its proper divisors (71053512).

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

38385048 is a wasteful number, since it uses less digits than its factorization.

38385048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 38385048 is about 6195.5668021578. The cubic root of 38385048 is about 337.3292722236.

The spelling of 38385048 in words is "thirty-eight million, three hundred eighty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 7237 14474 21711 28948 43422 57896 86844 94081 123029 173688 188162 246058 282243 369087 376324 492116 564486 738174 752648 984232 1128972 1476348 1599377 2257944 2952696 3198754 4798131 6397508 9596262 12795016 19192524 38385048