Search a number
-
+
38427648 = 210371787
BaseRepresentation
bin1001001010010…
…1110000000000
32200022022211020
42102211300000
534314141043
63451345440
7644425650
oct222456000
980268736
1038427648
111a767296
1210a52280
137c65c6c
145164360
153590e83
hex24a5c00

38427648 has 88 divisors (see below), whose sum is σ = 117121152. Its totient is φ = 10973184.

The previous prime is 38427643. The next prime is 38427661. The reversal of 38427648 is 84672483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38427643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20611 + ... + 22397.

Almost surely, 238427648 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 38427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58560576).

38427648 is an abundant number, since it is smaller than the sum of its proper divisors (78693504).

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

38427648 is a wasteful number, since it uses less digits than its factorization.

38427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1799 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 38427648 is about 6199.0037909329. The cubic root of 38427648 is about 337.4540162316.

The spelling of 38427648 in words is "thirty-eight million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1787 1792 2688 3072 3574 3584 5361 5376 7148 7168 10722 10752 12509 14296 21444 21504 25018 28592 37527 42888 50036 57184 75054 85776 100072 114368 150108 171552 200144 228736 300216 343104 400288 457472 600432 686208 800576 914944 1200864 1372416 1601152 1829888 2401728 2744832 3202304 4803456 5489664 6404608 9606912 12809216 19213824 38427648