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38465928 = 233547421
BaseRepresentation
bin1001001010111…
…1000110001000
32200101021100000
42102233012020
534321402203
63452243000
7644645364
oct222570610
980337300
1038465928
111a793026
1210a70460
137c7a507
1451742a4
15359c4a3
hex24af188

38465928 has 96 divisors (see below), whose sum is σ = 110597760. Its totient is φ = 12519360.

The previous prime is 38465893. The next prime is 38465941. The reversal of 38465928 is 82956483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91158 + ... + 91578.

It is an arithmetic number, because the mean of its divisors is an integer number (1152060).

Almost surely, 238465928 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 38465928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55298880).

38465928 is an abundant number, since it is smaller than the sum of its proper divisors (72131832).

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

38465928 is a wasteful number, since it uses less digits than its factorization.

38465928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 38465928 is about 6202.0906152684. The cubic root of 38465928 is about 337.5660315246.

It can be divided in two parts, 38465 and 928, that added together give a palindrome (39393).

The spelling of 38465928 in words is "thirty-eight million, four hundred sixty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 421 423 486 564 648 842 846 972 1128 1263 1269 1684 1692 1944 2526 2538 3368 3384 3789 3807 5052 5076 7578 7614 10104 10152 11367 11421 15156 15228 19787 22734 22842 30312 30456 34101 39574 45468 45684 59361 68202 79148 90936 91368 102303 118722 136404 158296 178083 204606 237444 272808 356166 409212 474888 534249 712332 818424 1068498 1424664 1602747 2136996 3205494 4273992 4808241 6410988 9616482 12821976 19232964 38465928