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54266112 = 28342617
BaseRepresentation
bin1100111100000…
…0100100000000
310210010000010000
43033000210000
5102343003422
65215040000
71226153145
oct317004400
9123100100
1054266112
11286a4a2a
1216210000
13b320134
1472c83cc
154b6dcac
hex33c0900

54266112 has 90 divisors (see below), whose sum is σ = 161873558. Its totient is φ = 18081792.

The previous prime is 54266101. The next prime is 54266119. The reversal of 54266112 is 21166245.

54266112 is a `hidden beast` number, since 5 + 42 + 6 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 331776 = 7344^2 + 576^2 .

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 (54266119) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19428 + ... + 22044.

Almost surely, 254266112 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 54266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80936779).

54266112 is an abundant number, since it is smaller than the sum of its proper divisors (107607446).

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

54266112 is an equidigital number, since it uses as much as digits as its factorization.

54266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2622 counting only the distinct ones).

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

The square root of 54266112 is about 7366.5536039589. The cubic root of 54266112 is about 378.5961869312.

The spelling of 54266112 in words is "fifty-four million, two hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 2617 3456 5184 5234 6912 7851 10368 10468 15702 20736 20936 23553 31404 41872 47106 62808 70659 83744 94212 125616 141318 167488 188424 211977 251232 282636 334976 376848 423954 502464 565272 669952 753696 847908 1004928 1130544 1507392 1695816 2009856 2261088 3014784 3391632 4522176 6029568 6783264 9044352 13566528 18088704 27133056 54266112