[go: up one dir, main page]

Search a number
-
+
38375808 = 27337273
BaseRepresentation
bin1001001001100…
…1000110000000
32200012200201020
42102121012000
534311011213
63450305440
7644121552
oct222310600
980180636
1038375808
111a731349
1210a28280
137c484a3
14514d4d2
153580923
hex2499180

38375808 has 96 divisors (see below), whose sum is σ = 106200360. Its totient is φ = 12275712.

The previous prime is 38375807. The next prime is 38375833. The reversal of 38375808 is 80857383.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38375808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38375803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525660 + ... + 525732.

Almost surely, 238375808 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 38375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53100180).

38375808 is an abundant number, since it is smaller than the sum of its proper divisors (67824552).

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

38375808 is an equidigital number, since it uses as much as digits as its factorization.

38375808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 38375808 is about 6194.8210627911. The cubic root of 38375808 is about 337.3022028935.

The spelling of 38375808 in words is "thirty-eight million, three hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 73 74 96 111 128 146 148 192 219 222 292 296 384 438 444 584 592 876 888 1168 1184 1369 1752 1776 2336 2368 2701 2738 3504 3552 4107 4672 4736 5402 5476 7008 7104 8103 8214 9344 10804 10952 14016 14208 16206 16428 21608 21904 28032 32412 32856 43216 43808 64824 65712 86432 87616 99937 129648 131424 172864 175232 199874 259296 262848 299811 345728 399748 518592 525696 599622 799496 1037184 1199244 1598992 2398488 3197984 4796976 6395968 9593952 12791936 19187904 38375808