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55461648 = 24311234567
BaseRepresentation
bin1101001110010…
…0011100010000
310212100202002010
43103210130100
5103144233043
65300422520
71242262524
oct323443420
9125322063
1055461648
1129341180
12166a7a40
13b64b358
147519d84
154d08133
hex34e4710

55461648 has 80 divisors (see below), whose sum is σ = 163132416. Its totient is φ = 16072320.

The previous prime is 55461619. The next prime is 55461673. The reversal of 55461648 is 84616455.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9861 + ... + 14427.

Almost surely, 255461648 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 55461648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81566208).

55461648 is an abundant number, since it is smaller than the sum of its proper divisors (107670768).

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

55461648 is a wasteful number, since it uses less digits than its factorization.

55461648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4606 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 55461648 is about 7447.2577503401. The cubic root of 55461648 is about 381.3562983002.

The spelling of 55461648 in words is "fifty-five million, four hundred sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 4567 6072 9134 12144 13701 18268 27402 36536 50237 54804 73072 100474 105041 109608 150711 200948 210082 219216 301422 315123 401896 420164 602844 630246 803792 840328 1155451 1205688 1260492 1680656 2310902 2411376 2520984 3466353 4621804 5041968 6932706 9243608 13865412 18487216 27730824 55461648