Search a number
-
+
54911168 = 2613312129
BaseRepresentation
bin1101000101111…
…0000011000000
310211022202221222
43101132003000
5103024124133
65240534212
71234510604
oct321360300
9124282858
1054911168
1128aa5634
1216481368
13b4b7920
147415504
154c49e98
hex345e0c0

54911168 has 56 divisors (see below), whose sum is σ = 121188480. Its totient is φ = 24514560.

The previous prime is 54911161. The next prime is 54911183. The reversal of 54911168 is 86111945.

It is a super-2 number, since 2×549111682 = 6030472742248448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54911161) 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, 24728 + ... + 26856.

It is an arithmetic number, because the mean of its divisors is an integer number (2164080).

Almost surely, 254911168 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 54911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60594240).

54911168 is an abundant number, since it is smaller than the sum of its proper divisors (66277312).

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

54911168 is a wasteful number, since it uses less digits than its factorization.

54911168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2175 counting only the distinct ones).

The product of its digits is 8640, while the sum is 35.

The square root of 54911168 is about 7410.2070146522. The cubic root of 54911168 is about 380.0903940079.

The spelling of 54911168 in words is "fifty-four million, nine hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 2129 3224 4258 6448 8516 12896 17032 25792 27677 34064 55354 65999 68128 110708 131998 136256 221416 263996 442832 527992 857987 885664 1055984 1715974 1771328 2111968 3431948 4223936 6863896 13727792 27455584 54911168