[go: up one dir, main page]

Search a number
-
+
38487096 = 23332361127
BaseRepresentation
bin1001001011010…
…0010000111000
32200102100101000
42102310100320
534323041341
63452525000
7645064164
oct222642070
980370330
1038487096
111a7a7a1a
1210a80760
137c8703b
14517bca4
1535a38b6
hex24b4438

38487096 has 128 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 11975040.

The previous prime is 38487091. The next prime is 38487109. The reversal of 38487096 is 69078483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38487091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302985 + ... + 303111.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 238487096 is an apocalyptic number.

38487096 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 38487096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

38487096 is an abundant number, since it is smaller than the sum of its proper divisors (75791304).

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

38487096 is a wasteful number, since it uses less digits than its factorization.

38487096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38487096 is about 6203.7969018981. The cubic root of 38487096 is about 337.6279416164.

The spelling of 38487096 in words is "thirty-eight million, four hundred eighty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 61 69 72 92 108 122 127 138 183 184 207 216 244 254 276 366 381 414 488 508 549 552 621 732 762 828 1016 1098 1143 1242 1403 1464 1524 1647 1656 2196 2286 2484 2806 2921 3048 3294 3429 4209 4392 4572 4968 5612 5842 6588 6858 7747 8418 8763 9144 11224 11684 12627 13176 13716 15494 16836 17526 23241 23368 25254 26289 27432 30988 33672 35052 37881 46482 50508 52578 61976 69723 70104 75762 78867 92964 101016 105156 139446 151524 157734 178181 185928 209169 210312 278892 303048 315468 356362 418338 534543 557784 630936 712724 836676 1069086 1425448 1603629 1673352 2138172 3207258 4276344 4810887 6414516 9621774 12829032 19243548 38487096