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55258016 = 2511179877
BaseRepresentation
bin1101001011001…
…0101110100000
310211222101202012
43102302232200
5103121224031
65252212052
71240454042
oct322625640
9124871665
1055258016
1129212190
121660a028
13b5a9768
1474a5a92
154cb7b2b
hex34b2ba0

55258016 has 48 divisors (see below), whose sum is σ = 119478240. Its totient is φ = 24948480.

The previous prime is 55258013. The next prime is 55258039. The reversal of 55258016 is 61085255.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (55258013) 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, 62570 + ... + 63446.

It is an arithmetic number, because the mean of its divisors is an integer number (2489130).

Almost surely, 255258016 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 55258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59739120).

55258016 is an abundant number, since it is smaller than the sum of its proper divisors (64220224).

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

55258016 is a wasteful number, since it uses less digits than its factorization.

55258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 55258016 is about 7433.5735686142. The cubic root of 55258016 is about 380.8889989235. Note that the first 3 decimals are identical.

The spelling of 55258016 in words is "fifty-five million, two hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 352 358 716 877 1432 1754 1969 2864 3508 3938 5728 7016 7876 9647 14032 15752 19294 28064 31504 38588 63008 77176 154352 156983 308704 313966 627932 1255864 1726813 2511728 3453626 5023456 6907252 13814504 27629008 55258016