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38384052 = 22372292251
BaseRepresentation
bin1001001001101…
…1000110110100
32200020010000120
42102123012310
534311242202
63450411540
7644154600
oct222330664
980203016
1038384052
111a737563
1210a30bb0
137c4c175
145152500
1535830bc
hex249b1b4

38384052 has 72 divisors (see below), whose sum is σ = 107825760. Its totient is φ = 10584000.

The previous prime is 38384051. The next prime is 38384149. The reversal of 38384052 is 25048383.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38384051) 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, 15927 + ... + 18177.

It is an arithmetic number, because the mean of its divisors is an integer number (1497580).

Almost surely, 238384052 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 38384052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53912880).

38384052 is an abundant number, since it is smaller than the sum of its proper divisors (69441708).

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

38384052 is a wasteful number, since it uses less digits than its factorization.

38384052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 38384052 is about 6195.4864215814. The cubic root of 38384052 is about 337.3263545696.

The spelling of 38384052 in words is "thirty-eight million, three hundred eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2251 2436 2842 4263 4502 5684 6753 8526 9004 13506 15757 17052 27012 31514 47271 63028 65279 94542 110299 130558 189084 195837 220598 261116 330897 391674 441196 456953 661794 783348 913906 1323588 1370859 1827812 2741718 3198671 5483436 6397342 9596013 12794684 19192026 38384052