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55681728 = 263793671
BaseRepresentation
bin1101010001101…
…0001011000000
310212202220222020
43110122023000
5103223303403
65305241440
71244200254
oct324321300
9125686866
1055681728
1129481563
1216793280
13b6c758b
147576264
154d4d453
hex351a2c0

55681728 has 56 divisors (see below), whose sum is σ = 149230080. Its totient is φ = 18320640.

The previous prime is 55681721. The next prime is 55681729. The reversal of 55681728 is 82718655.

It is a self number, because there is not a number n which added to its sum of digits gives 55681728.

It is not an unprimeable number, because it can be changed into a prime (55681721) 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, 13333 + ... + 17003.

Almost surely, 255681728 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 55681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615040).

55681728 is an abundant number, since it is smaller than the sum of its proper divisors (93548352).

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

55681728 is a wasteful number, since it uses less digits than its factorization.

55681728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3755 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 55681728 is about 7462.0190297265. The cubic root of 55681728 is about 381.8600585691.

The spelling of 55681728 in words is "fifty-five million, six hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3671 3792 5056 7342 7584 11013 14684 15168 22026 29368 44052 58736 88104 117472 176208 234944 290009 352416 580018 704832 870027 1160036 1740054 2320072 3480108 4640144 6960216 9280288 13920432 18560576 27840864 55681728