[go: up one dir, main page]

Search a number
-
+
4189392 = 243247619
BaseRepresentation
bin1111111110110011010000
321212211202200
433332303100
52033030032
6225443200
750415654
oct17766320
97784680
104189392
112401609
1214a0500
13b38b3c
147b0a64
1557b47c
hex3fecd0

4189392 has 60 divisors (see below), whose sum is σ = 11993280. Its totient is φ = 1364544.

The previous prime is 4189373. The next prime is 4189403. The reversal of 4189392 is 2939814.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6459 + ... + 7077.

It is an arithmetic number, because the mean of its divisors is an integer number (199888).

Almost surely, 24189392 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 4189392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996640).

4189392 is an abundant number, since it is smaller than the sum of its proper divisors (7803888).

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

4189392 is a wasteful number, since it uses less digits than its factorization.

4189392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 4189392 is about 2046.8004299394. The cubic root of 4189392 is about 161.2069147553.

The spelling of 4189392 in words is "four million, one hundred eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 619 752 846 1128 1238 1692 1857 2256 2476 3384 3714 4952 5571 6768 7428 9904 11142 14856 22284 29093 29712 44568 58186 87279 89136 116372 174558 232744 261837 349116 465488 523674 698232 1047348 1396464 2094696 4189392