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551006656 = 2653612663
BaseRepresentation
bin100000110101111…
…011000111000000
31102101211001000221
4200311323013000
52112024203111
6130401552424
716440323254
oct4065730700
91371731027
10551006656
11263035502
12134645714
138a203755
1453272264
1533591371
hex20d7b1c0

551006656 has 56 divisors (see below), whose sum is σ = 1132722144. Its totient is φ = 265774080.

The previous prime is 551006629. The next prime is 551006671. The reversal of 551006656 is 656600155.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 205581 + ... + 208243.

Almost surely, 2551006656 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 551006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566361072).

551006656 is an abundant number, since it is smaller than the sum of its proper divisors (581715488).

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

551006656 is a wasteful number, since it uses less digits than its factorization.

551006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 551006656 is about 23473.5309657495. The cubic root of 551006656 is about 819.8208293846.

The spelling of 551006656 in words is "five hundred fifty-one million, six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 212 244 424 488 848 976 1696 1952 2663 3233 3392 3904 5326 6466 10652 12932 21304 25864 42608 51728 85216 103456 141139 162443 170432 206912 282278 324886 564556 649772 1129112 1299544 2258224 2599088 4516448 5198176 8609479 9032896 10396352 17218958 34437916 68875832 137751664 275503328 551006656