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550546656 = 253111493499
BaseRepresentation
bin100000110100001…
…010110011100000
31102100221200000220
4200310022303200
52111414443111
6130344043040
716433366202
oct4064126340
91370850026
10550546656
11262850940
12134463480
138a0a226a
1453192772
15334eee06
hex20d0ace0

550546656 has 96 divisors (see below), whose sum is σ = 1587600000. Its totient is φ = 165665280.

The previous prime is 550546631. The next prime is 550546697. The reversal of 550546656 is 656645055.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 155595 + ... + 159093.

It is an arithmetic number, because the mean of its divisors is an integer number (16537500).

Almost surely, 2550546656 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 550546656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793800000).

550546656 is an abundant number, since it is smaller than the sum of its proper divisors (1037053344).

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

550546656 is a wasteful number, since it uses less digits than its factorization.

550546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The square root of 550546656 is about 23463.7306496644. The cubic root of 550546656 is about 819.5926273173.

The spelling of 550546656 in words is "five hundred fifty million, five hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 149 176 264 298 352 447 528 596 894 1056 1192 1639 1788 2384 3278 3499 3576 4768 4917 6556 6998 7152 9834 10497 13112 13996 14304 19668 20994 26224 27992 38489 39336 41988 52448 55984 76978 78672 83976 111968 115467 153956 157344 167952 230934 307912 335904 461868 521351 615824 923736 1042702 1231648 1564053 1847472 2085404 3128106 3694944 4170808 5734861 6256212 8341616 11469722 12512424 16683232 17204583 22939444 25024848 34409166 45878888 50049696 68818332 91757776 137636664 183515552 275273328 550546656