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55705248 = 25321271523
BaseRepresentation
bin1101010001111…
…1111010100000
310212211010020100
43110133322200
5103230031443
65305542400
71244325654
oct324377240
9125733210
1055705248
11294981a5
12167a4a00
13b7051b1
147580a64
154d553d3
hex351fea0

55705248 has 72 divisors (see below), whose sum is σ = 159763968. Its totient is φ = 18410112.

The previous prime is 55705231. The next prime is 55705267. The reversal of 55705248 is 84250755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35815 + ... + 37337.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 255705248 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 55705248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

55705248 is an abundant number, since it is smaller than the sum of its proper divisors (104058720).

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

55705248 is a wasteful number, since it uses less digits than its factorization.

55705248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55705248 is about 7463.5948443093. The cubic root of 55705248 is about 381.9138169840.

The spelling of 55705248 in words is "fifty-five million, seven hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1523 1524 2032 2286 3046 3048 4064 4569 4572 6092 6096 9138 9144 12184 12192 13707 18276 18288 24368 27414 36552 36576 48736 54828 73104 109656 146208 193421 219312 386842 438624 580263 773684 1160526 1547368 1740789 2321052 3094736 3481578 4642104 6189472 6963156 9284208 13926312 18568416 27852624 55705248