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38530976 = 25111747137
BaseRepresentation
bin1001001011111…
…0111110100000
32200111120120012
42102332332200
534330442401
63453504052
7645336131
oct222767640
980446505
1038530976
111a827990
1210aa2028
137ca0cc3
14518dc88
1535b18bb
hex24befa0

38530976 has 96 divisors (see below), whose sum is σ = 90139392. Its totient is φ = 16015360.

The previous prime is 38530931. The next prime is 38530991. The reversal of 38530976 is 67903583.

It is a super-2 number, since 2×385309762 = 2969272223025152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281180 + ... + 281316.

It is an arithmetic number, because the mean of its divisors is an integer number (938952).

Almost surely, 238530976 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 38530976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45069696).

38530976 is an abundant number, since it is smaller than the sum of its proper divisors (51608416).

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

38530976 is a wasteful number, since it uses less digits than its factorization.

38530976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 38530976 is about 6207.3324383345. The cubic root of 38530976 is about 337.7562052756.

The spelling of 38530976 in words is "thirty-eight million, five hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 47 68 88 94 136 137 176 187 188 272 274 352 374 376 517 544 548 748 752 799 1034 1096 1496 1504 1507 1598 2068 2192 2329 2992 3014 3196 4136 4384 4658 5984 6028 6392 6439 8272 8789 9316 12056 12784 12878 16544 17578 18632 24112 25568 25619 25756 35156 37264 48224 51238 51512 70312 70829 74528 102476 103024 109463 140624 141658 204952 206048 218926 281248 283316 409904 437852 566632 819808 875704 1133264 1204093 1751408 2266528 2408186 3502816 4816372 9632744 19265488 38530976