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38427696 = 2434149199
BaseRepresentation
bin1001001010010…
…1110000110000
32200022022220000
42102211300300
534314141241
63451350000
7644426046
oct222456060
980268800
1038427696
111a76732a
1210a52300
137c65ca8
145164396
153590eb6
hex24a5c30

38427696 has 100 divisors (see below), whose sum is σ = 112530000. Its totient is φ = 12659328.

The previous prime is 38427673. The next prime is 38427707. The reversal of 38427696 is 69672483.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 193005 + ... + 193203.

It is an arithmetic number, because the mean of its divisors is an integer number (1125300).

Almost surely, 238427696 is an apocalyptic number.

38427696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56265000).

38427696 is an abundant number, since it is smaller than the sum of its proper divisors (74102304).

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

38427696 is a wasteful number, since it uses less digits than its factorization.

38427696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 38427696 is about 6199.0076625215. The cubic root of 38427696 is about 337.4541567363.

The spelling of 38427696 in words is "thirty-eight million, four hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 199 216 298 324 398 432 447 596 597 648 796 894 1192 1194 1296 1341 1592 1788 1791 2384 2388 2682 3184 3576 3582 4023 4776 5364 5373 7152 7164 8046 9552 10728 10746 12069 14328 16092 16119 21456 21492 24138 28656 29651 32184 32238 42984 48276 59302 64368 64476 85968 88953 96552 118604 128952 177906 193104 237208 257904 266859 355812 474416 533718 711624 800577 1067436 1423248 1601154 2134872 2401731 3202308 4269744 4803462 6404616 9606924 12809232 19213848 38427696