Search a number
-
+
38280648 = 2337239907
BaseRepresentation
bin1001001000000…
…1110111001000
32200000212011210
42102001313020
534244440043
63444253120
7643244250
oct222016710
980025153
1038280648
111a6768aa
12109a11a0
137c14093
145126960
153562633
hex2481dc8

38280648 has 64 divisors (see below), whose sum is σ = 114140160. Its totient is φ = 10460736.

The previous prime is 38280637. The next prime is 38280653. The reversal of 38280648 is 84608283.

It is a super-2 number, since 2×382806482 = 2930816022599808, which contains 22 as substring.

It is a congruent number.

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, 1090 + ... + 8817.

It is an arithmetic number, because the mean of its divisors is an integer number (1783440).

Almost surely, 238280648 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 38280648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57070080).

38280648 is an abundant number, since it is smaller than the sum of its proper divisors (75859512).

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

38280648 is a wasteful number, since it uses less digits than its factorization.

38280648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 38280648 is about 6187.1356862445. The cubic root of 38280648 is about 337.0231708101.

The spelling of 38280648 in words is "thirty-eight million, two hundred eighty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 9907 19814 29721 39628 59442 69349 79256 118884 138698 208047 227861 237768 277396 416094 455722 554792 683583 832188 911444 1367166 1595027 1664376 1822888 2734332 3190054 4785081 5468664 6380108 9570162 12760216 19140324 38280648