Search a number
-
+
38292992 = 29292579
BaseRepresentation
bin1001001000010…
…0111000000000
32200001111002222
42102010320000
534300333432
63444430212
7643325243
oct222047000
980044088
1038292992
111a685101
12109a8368
137c1989a
14512b25a
153566112
hex2484e00

38292992 has 40 divisors (see below), whose sum is σ = 79180200. Its totient is φ = 18479104.

The previous prime is 38292983. The next prime is 38293019. The reversal of 38292992 is 29929283.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13559 + ... + 16137.

It is an arithmetic number, because the mean of its divisors is an integer number (1979505).

Almost surely, 238292992 is an apocalyptic number.

38292992 is a gapful number since it is divisible by the number (32) 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 38292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39590100).

38292992 is an abundant number, since it is smaller than the sum of its proper divisors (40887208).

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

38292992 is an equidigital number, since it uses as much as digits as its factorization.

38292992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2610 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 38292992 is about 6188.1331595240. The cubic root of 38292992 is about 337.0593924795.

The spelling of 38292992 in words is "thirty-eight million, two hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 2579 3712 5158 7424 10316 14848 20632 41264 74791 82528 149582 165056 299164 330112 598328 660224 1196656 1320448 2393312 4786624 9573248 19146496 38292992