Search a number
-
+
6268944 = 2431131383
BaseRepresentation
bin10111111010100000010000
3102210111101010
4113322200100
53101101234
6342210520
7104166543
oct27724020
912714333
106268944
1135a1a50
122123a40
1313b6546
14b9285a
1583c6e9
hex5fa810

6268944 has 80 divisors (see below), whose sum is σ = 18284544. Its totient is φ = 1833600.

The previous prime is 6268943. The next prime is 6268957. The reversal of 6268944 is 4498626.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16177 + ... + 16559.

Almost surely, 26268944 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 6268944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142272).

6268944 is an abundant number, since it is smaller than the sum of its proper divisors (12015600).

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

6268944 is a wasteful number, since it uses less digits than its factorization.

6268944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 6268944 is about 2503.7859333417. The cubic root of 6268944 is about 184.3874946622.

It can be divided in two parts, 62 and 68944, that added together give a triangular number (69006 = T371).

The spelling of 6268944 in words is "six million, two hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 383 496 528 682 744 766 1023 1149 1364 1488 1532 2046 2298 2728 3064 4092 4213 4596 5456 6128 8184 8426 9192 11873 12639 16368 16852 18384 23746 25278 33704 35619 47492 50556 67408 71238 94984 101112 130603 142476 189968 202224 261206 284952 391809 522412 569904 783618 1044824 1567236 2089648 3134472 6268944