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269472 = 2537401
BaseRepresentation
bin1000001110010100000
3111200122110
41001302200
532110342
65435320
72201430
oct1016240
9450573
10269472
11174505
1210bb40
1395868
14702c0
1554c9c
hex41ca0

269472 has 48 divisors (see below), whose sum is σ = 810432. Its totient is φ = 76800.

The previous prime is 269461. The next prime is 269473. The reversal of 269472 is 274962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 25 + 63 + 49 + 94 + 7 + 29 .

It is not an unprimeable number, because it can be changed into a prime (269473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (16884).

2269472 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 269472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405216).

269472 is an abundant number, since it is smaller than the sum of its proper divisors (540960).

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

269472 is a wasteful number, since it uses less digits than its factorization.

269472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 269472 is about 519.1069254017. The cubic root of 269472 is about 64.5908820405.

It can be divided in two parts, 269 and 472, that added together give a triangular number (741 = T38).

The spelling of 269472 in words is "two hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 401 672 802 1203 1604 2406 2807 3208 4812 5614 6416 8421 9624 11228 12832 16842 19248 22456 33684 38496 44912 67368 89824 134736 269472