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553249360 = 24517232769
BaseRepresentation
bin100000111110011…
…110101001010000
31102120000222110001
4200332132221100
52113112434420
6130522015344
716465353616
oct4076365120
91376028401
10553249360
11264327484
12135347554
138a80a4b1
14536976b6
1533885b0a
hex20f9ea50

553249360 has 120 divisors (see below), whose sum is σ = 1425611880. Its totient is φ = 198967296.

The previous prime is 553249357. The next prime is 553249399. The reversal of 553249360 is 63942355.

553249360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 89794576 + 463454784 = 9476^2 + 21528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719056 + ... + 719824.

It is an arithmetic number, because the mean of its divisors is an integer number (11880099).

Almost surely, 2553249360 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 553249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712805940).

553249360 is an abundant number, since it is smaller than the sum of its proper divisors (872362520).

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

553249360 is a wasteful number, since it uses less digits than its factorization.

553249360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 553249360 is about 23521.2533679649. The cubic root of 553249360 is about 820.9316003414.

The spelling of 553249360 in words is "five hundred fifty-three million, two hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 529 680 769 782 920 1058 1360 1538 1564 1840 1955 2116 2645 3076 3128 3845 3910 4232 5290 6152 6256 7690 7820 8464 8993 10580 12304 13073 15380 15640 17687 17986 21160 26146 30760 31280 35374 35972 42320 44965 52292 61520 65365 70748 71944 88435 89930 104584 130730 141496 143888 176870 179860 209168 261460 282992 300679 353740 359720 406801 522920 601358 707480 719440 813602 1045840 1202716 1414960 1503395 1627204 2034005 2405432 3006790 3254408 4068010 4810864 6013580 6508816 6915617 8136020 12027160 13831234 16272040 24054320 27662468 32544080 34578085 55324936 69156170 110649872 138312340 276624680 553249360