[go: up one dir, main page]

Search a number
-
+
3788442 = 2327107281
BaseRepresentation
bin1110011100111010011010
321010110202200
432130322122
51432212232
6213111030
744126010
oct16347232
97113680
103788442
112158349
121328476
13a284a8
147088b0
154ec77c
hex39ce9a

3788442 has 48 divisors (see below), whose sum is σ = 9502272. Its totient is φ = 1068480.

The previous prime is 3788431. The next prime is 3788453. The reversal of 3788442 is 2448873.

It is an interprime number because it is at equal distance from previous prime (3788431) and next prime (3788453).

It is a d-powerful number, because it can be written as 32 + 76 + 83 + 87 + 44 + 410 + 219 .

It is a junction number, because it is equal to n+sod(n) for n = 3788397 and 3788406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13342 + ... + 13622.

It is an arithmetic number, because the mean of its divisors is an integer number (197964).

Almost surely, 23788442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751136).

3788442 is an abundant number, since it is smaller than the sum of its proper divisors (5713830).

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

3788442 is a wasteful number, since it uses less digits than its factorization.

3788442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3788442 is about 1946.3920468395. The cubic root of 3788442 is about 155.8907025341.

The spelling of 3788442 in words is "three million, seven hundred eighty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 281 321 562 642 749 843 963 1498 1686 1926 1967 2247 2529 3934 4494 5058 5901 6741 11802 13482 17703 30067 35406 60134 90201 180402 210469 270603 420938 541206 631407 1262814 1894221 3788442