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55350656 = 274153199
BaseRepresentation
bin1101001100100…
…1010110000000
310212011002211022
43103021112000
5103132210111
65254205012
71241321114
oct323112600
9125132738
1055350656
1129275849
1216653768
13b60c98a
1474cb744
154cd52db
hex34c9580

55350656 has 64 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 26357760.

The previous prime is 55350653. The next prime is 55350661. The reversal of 55350656 is 65605355.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55350653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278045 + ... + 278243.

Almost surely, 255350656 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 55350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834000).

55350656 is an abundant number, since it is smaller than the sum of its proper divisors (60317344).

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

55350656 is a wasteful number, since it uses less digits than its factorization.

55350656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

The square root of 55350656 is about 7439.8021479069. The cubic root of 55350656 is about 381.1017334069.

The spelling of 55350656 in words is "fifty-five million, three hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 199 212 328 398 424 656 796 848 1312 1592 1696 2173 2624 3184 3392 4346 5248 6368 6784 8159 8692 10547 12736 16318 17384 21094 25472 32636 34768 42188 65272 69536 84376 130544 139072 168752 261088 278144 337504 432427 522176 675008 864854 1044352 1350016 1729708 3459416 6918832 13837664 27675328 55350656