Search a number
-
+
38482496 = 2613232011
BaseRepresentation
bin1001001011001…
…1001001000000
32200102010001122
42102303021000
534322414441
63452451412
7645044603
oct222631100
980363048
1038482496
111a7a4518
1210a79b68
137c84c10
14517a33a
1535a234b
hex24b3240

38482496 has 56 divisors (see below), whose sum is σ = 85856064. Its totient is φ = 16980480.

The previous prime is 38482487. The next prime is 38482517. The reversal of 38482496 is 69428483.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18131 + ... + 20141.

It is an arithmetic number, because the mean of its divisors is an integer number (1533144).

Almost surely, 238482496 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 38482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928032).

38482496 is an abundant number, since it is smaller than the sum of its proper divisors (47373568).

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

38482496 is a wasteful number, since it uses less digits than its factorization.

38482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2049 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 38482496 is about 6203.4261501206. The cubic root of 38482496 is about 337.6144899181.

The spelling of 38482496 in words is "thirty-eight million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2011 2392 4022 4784 8044 9568 16088 19136 26143 32176 46253 52286 64352 92506 104572 128704 185012 209144 370024 418288 601289 740048 836576 1202578 1480096 1673152 2405156 2960192 4810312 9620624 19241248 38482496