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38825196 = 22323414773
BaseRepresentation
bin1001010000011…
…0110011101100
32201001112011020
42110012303230
534414401241
63504054140
7651002664
oct224066354
981045136
1038825196
111aa08a43
1211004350
138074bb7
1452291a4
15361db66
hex2506cec

38825196 has 96 divisors (see below), whose sum is σ = 100251648. Its totient is φ = 11658240.

The previous prime is 38825191. The next prime is 38825207. The reversal of 38825196 is 69152883.

It is a super-3 number, since 3×388251963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38825191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531816 + ... + 531888.

It is an arithmetic number, because the mean of its divisors is an integer number (1044288).

Almost surely, 238825196 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 38825196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50125824).

38825196 is an abundant number, since it is smaller than the sum of its proper divisors (61426452).

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

38825196 is a wasteful number, since it uses less digits than its factorization.

38825196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 38825196 is about 6230.9867597356. The cubic root of 38825196 is about 338.6137210478.

The spelling of 38825196 in words is "thirty-eight million, eight hundred twenty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 41 46 47 69 73 82 92 94 123 138 141 146 164 188 219 246 276 282 292 438 492 564 876 943 1081 1679 1886 1927 2162 2829 2993 3243 3358 3431 3772 3854 4324 5037 5658 5781 5986 6486 6716 6862 7708 8979 10074 10293 11316 11562 11972 12972 13724 17958 20148 20586 23124 35916 41172 44321 68839 78913 88642 132963 137678 140671 157826 177284 206517 236739 265926 275356 281342 315652 413034 422013 473478 531852 562684 826068 844026 946956 1688052 3235433 6470866 9706299 12941732 19412598 38825196