Search a number
-
+
38678688 = 253389503
BaseRepresentation
bin1001001110001…
…1000010100000
32200210002012000
42103203002200
534400204223
63501004000
7646522566
oct223430240
980702160
1038678688
111a918964
1210b53600
1380232c9
1451cba36
1535e0543
hex24e30a0

38678688 has 96 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 12722688.

The previous prime is 38678683. The next prime is 38678693. The reversal of 38678688 is 88687683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38678683) and next prime (38678693).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38678683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76645 + ... + 77147.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 238678688 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 38678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

38678688 is an abundant number, since it is smaller than the sum of its proper divisors (75628512).

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

38678688 is a wasteful number, since it uses less digits than its factorization.

38678688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 38678688 is about 6219.2192436028. The cubic root of 38678688 is about 338.1872612879.

The spelling of 38678688 in words is "thirty-eight million, six hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 144 178 216 267 288 356 432 503 534 712 801 864 1006 1068 1424 1509 1602 2012 2136 2403 2848 3018 3204 4024 4272 4527 4806 6036 6408 8048 8544 9054 9612 12072 12816 13581 16096 18108 19224 24144 25632 27162 36216 38448 44767 48288 54324 72432 76896 89534 108648 134301 144864 179068 217296 268602 358136 402903 434592 537204 716272 805806 1074408 1208709 1432544 1611612 2148816 2417418 3223224 4297632 4834836 6446448 9669672 12892896 19339344 38678688