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553050560 = 26579131167
BaseRepresentation
bin100000111101101…
…110000111000000
31102112122212202002
4200331232013000
52113040104220
6130513443132
716463565206
oct4075560700
91375585662
10553050560
11264201087
121352704a8
138a76ab6a
1453645076
1533846c75
hex20f6e1c0

553050560 has 112 divisors (see below), whose sum is σ = 1351848960. Its totient is φ = 215454720.

The previous prime is 553050529. The next prime is 553050577. The reversal of 553050560 is 65050355.

It is a congruent number.

It is an unprimeable number.

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, 3311597 + ... + 3311763.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2553050560 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 553050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675924480).

553050560 is an abundant number, since it is smaller than the sum of its proper divisors (798798400).

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

553050560 is a wasteful number, since it uses less digits than its factorization.

553050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

The square root of 553050560 is about 23517.0270229891. The cubic root of 553050560 is about 820.8332596620.

The spelling of 553050560 in words is "five hundred fifty-three million, fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 131 158 160 167 262 316 320 334 395 524 632 655 668 790 835 1048 1264 1310 1336 1580 1670 2096 2528 2620 2672 3160 3340 4192 5056 5240 5344 6320 6680 8384 10349 10480 10688 12640 13193 13360 20698 20960 21877 25280 26386 26720 41396 41920 43754 51745 52772 53440 65965 82792 87508 103490 105544 109385 131930 165584 175016 206980 211088 218770 263860 331168 350032 413960 422176 437540 527720 662336 700064 827920 844352 875080 1055440 1400128 1655840 1728283 1750160 2110880 3311680 3456566 3500320 4221760 6913132 7000640 8641415 13826264 17282830 27652528 34565660 55305056 69131320 110610112 138262640 276525280 553050560