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553345440 = 25355321751
BaseRepresentation
bin100000111110110…
…110000110100000
31102120012212020120
4200332312012200
52113124023230
6130524040240
716466234004
oct4076660640
91376185216
10553345440
1126439268a
12135393080
138a84214b
14536c0704
15338a4310
hex20fb61a0

553345440 has 96 divisors (see below), whose sum is σ = 1776007296. Its totient is φ = 144768000.

The previous prime is 553345439. The next prime is 553345447. The reversal of 553345440 is 44543355.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (553345447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14565 + ... + 36315.

It is an arithmetic number, because the mean of its divisors is an integer number (18500076).

Almost surely, 2553345440 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 553345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888003648).

553345440 is an abundant number, since it is smaller than the sum of its proper divisors (1222661856).

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

553345440 is a wasteful number, since it uses less digits than its factorization.

553345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21822 (or 21814 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The square root of 553345440 is about 23523.2956874669. The cubic root of 553345440 is about 820.9791199280.

Adding to 553345440 its reverse (44543355), we get a palindrome (597888795).

The spelling of 553345440 in words is "five hundred fifty-three million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 21751 25440 43502 65253 87004 108755 130506 174008 217510 261012 326265 348016 435020 522024 652530 696032 870040 1044048 1152803 1305060 1740080 2088096 2305606 2610120 3458409 3480160 4611212 5220240 5764015 6916818 9222424 10440480 11528030 13833636 17292045 18444848 23056060 27667272 34584090 36889696 46112120 55334544 69168180 92224240 110669088 138336360 184448480 276672720 553345440