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54416016 = 2433125963
BaseRepresentation
bin1100111110010…
…1001010010000
310210101121202000
43033211022100
5102412303031
65222154000
71230346164
oct317451220
9123347660
1054416016
1128797616
1216282900
13b373435
147326ca4
154b9d3e6
hex33e5290

54416016 has 40 divisors (see below), whose sum is σ = 156195360. Its totient is φ = 18138528.

The previous prime is 54416003. The next prime is 54416017. The reversal of 54416016 is 61061445.

54416016 is a `hidden beast` number, since 54 + 4 + 1 + 601 + 6 = 666.

It is a super-2 number, since 2×544160162 = 5922205594624512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54416017) 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, 62550 + ... + 63413.

It is an arithmetic number, because the mean of its divisors is an integer number (3904884).

Almost surely, 254416016 is an apocalyptic number.

It is an amenable number.

54416016 is an abundant number, since it is smaller than the sum of its proper divisors (101779344).

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

54416016 is a wasteful number, since it uses less digits than its factorization.

54416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125980 (or 125968 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54416016 is about 7376.7212228740. The cubic root of 54416016 is about 378.9444761475.

The spelling of 54416016 in words is "fifty-four million, four hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 125963 251926 377889 503852 755778 1007704 1133667 1511556 2015408 2267334 3023112 3401001 4534668 6046224 6802002 9069336 13604004 18138672 27208008 54416016