Search a number
-
+
38319232 = 27742767
BaseRepresentation
bin1001001000101…
…1010010000000
32200002211002211
42102023102000
534302203412
63445151504
7643464610
oct222132200
980084084
1038319232
111a6a2896
12109bb594
137c28803
145136a40
15356dca7
hex248b480

38319232 has 32 divisors (see below), whose sum is σ = 87246720. Its totient is φ = 16422144.

The previous prime is 38319221. The next prime is 38319247. The reversal of 38319232 is 23291383.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 38319194 and 38319203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20488 + ... + 22279.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 238319232 is an apocalyptic number.

38319232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38319232 is an abundant number, since it is smaller than the sum of its proper divisors (48927488).

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

38319232 is an equidigital number, since it uses as much as digits as its factorization.

38319232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42788 (or 42776 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 38319232 is about 6190.2529835218. The cubic root of 38319232 is about 337.1363640834.

The spelling of 38319232 in words is "thirty-eight million, three hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 42767 85534 171068 299369 342136 598738 684272 1197476 1368544 2394952 2737088 4789904 5474176 9579808 19159616 38319232