Search a number
-
+
553441280 = 2115721103
BaseRepresentation
bin100000111111001…
…101100000000000
31102120101201201012
4200333031200000
52113140110110
6130530100052
716500113300
oct4077154000
91376351635
10553441280
11264448697
1213541a628
138a876962
1453707600
15338c2905
hex20fcd800

553441280 has 144 divisors (see below), whose sum is σ = 1546140960. Its totient is φ = 189579264.

The previous prime is 553441271. The next prime is 553441289. The reversal of 553441280 is 82144355.

It is an interprime number because it is at equal distance from previous prime (553441271) and next prime (553441289).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553441289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501209 + ... + 502311.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 2553441280 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 553441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773070480).

553441280 is an abundant number, since it is smaller than the sum of its proper divisors (992699680).

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

553441280 is a wasteful number, since it uses less digits than its factorization.

553441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 553441280 is about 23525.3327287841. The cubic root of 553441280 is about 821.0265153348.

The spelling of 553441280 in words is "five hundred fifty-three million, four hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1103 1120 1280 1568 1792 1960 2048 2206 2240 2560 3136 3584 3920 4412 4480 5120 5515 6272 7168 7721 7840 8824 8960 10240 11030 12544 14336 15442 15680 17648 17920 22060 25088 30884 31360 35296 35840 38605 44120 50176 54047 61768 62720 70592 71680 77210 88240 100352 108094 123536 125440 141184 154420 176480 216188 247072 250880 270235 282368 308840 352960 432376 494144 501760 540470 564736 617680 705920 864752 988288 1080940 1129472 1235360 1411840 1729504 1976576 2161880 2258944 2470720 2823680 3459008 3953152 4323760 4941440 5647360 6918016 7906304 8647520 9882880 11294720 13836032 15812608 17295040 19765760 27672064 34590080 39531520 55344128 69180160 79063040 110688256 138360320 276720640 553441280