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38427048 = 233611599
BaseRepresentation
bin1001001010010…
…1100110101000
32200022022000000
42102211212220
534314131143
63451343000
7644424132
oct222454650
980268000
1038427048
111a7668a0
1210a51a60
137c658ca
145164052
153590bd3
hex24a59a8

38427048 has 112 divisors (see below), whose sum is σ = 118044000. Its totient is φ = 11625120.

The previous prime is 38427047. The next prime is 38427061. The reversal of 38427048 is 84072483.

38427048 is a `hidden beast` number, since 384 + 270 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38427041) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 63853 + ... + 64451.

Almost surely, 238427048 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 38427048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59022000).

38427048 is an abundant number, since it is smaller than the sum of its proper divisors (79616952).

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

38427048 is a wasteful number, since it uses less digits than its factorization.

38427048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38427048 is about 6198.9553958711. The cubic root of 38427048 is about 337.4522599140.

The spelling of 38427048 in words is "thirty-eight million, four hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 599 648 729 792 891 972 1188 1198 1458 1782 1797 1944 2376 2396 2673 2916 3564 3594 4792 5346 5391 5832 6589 7128 7188 8019 10692 10782 13178 14376 16038 16173 19767 21384 21564 26356 32076 32346 39534 43128 48519 52712 59301 64152 64692 79068 97038 118602 129384 145557 158136 177903 194076 237204 291114 355806 388152 436671 474408 533709 582228 711612 873342 1067418 1164456 1423224 1601127 1746684 2134836 3202254 3493368 4269672 4803381 6404508 9606762 12809016 19213524 38427048