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55681248 = 253731989
BaseRepresentation
bin1101010001101…
…0000011100000
310212202220022110
43110122003200
5103223244443
65305235320
71244166000
oct324320340
9125686273
1055681248
1129481167
1216792b40
13b6c72ac
147576000
154d4d233
hex351a0e0

55681248 has 192 divisors, whose sum is σ = 181440000. Its totient is φ = 14902272.

The previous prime is 55681237. The next prime is 55681271. The reversal of 55681248 is 84218655.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (76800) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625588 + ... + 625676.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 255681248 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 55681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

55681248 is an abundant number, since it is smaller than the sum of its proper divisors (125758752).

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

55681248 is a wasteful number, since it uses less digits than its factorization.

55681248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 55681248 is about 7461.9868667802. The cubic root of 55681248 is about 381.8589613010.

The spelling of 55681248 in words is "fifty-five million, six hundred eighty-one thousand, two hundred forty-eight".