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554112 = 27321337
BaseRepresentation
bin10000111010010000000
31001011002200
42013102000
5120212422
615513200
74465326
oct2072200
91034080
10554112
11349349
12228800
131652a0
14105d16
15ae2ac
hex87480

554112 has 96 divisors (see below), whose sum is σ = 1763580. Its totient is φ = 165888.

The previous prime is 554089. The next prime is 554117. The reversal of 554112 is 211455.

554112 is a `hidden beast` number, since 554 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 576 = 744^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (554117) by changing a digit.

554112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14958 + ... + 14994.

2554112 is an apocalyptic number.

554112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881790).

554112 is an abundant number, since it is smaller than the sum of its proper divisors (1209468).

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

554112 is a wasteful number, since it uses less digits than its factorization.

554112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 554112 is about 744.3869961250. The cubic root of 554112 is about 82.1358051017.

Adding to 554112 its reverse (211455), we get a palindrome (765567).

It can be divided in two parts, 554 and 112, that added together give a palindrome (666).

The spelling of 554112 in words is "five hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 156 192 208 222 234 288 296 312 333 384 416 444 468 481 576 592 624 666 832 888 936 962 1152 1184 1248 1332 1443 1664 1776 1872 1924 2368 2496 2664 2886 3552 3744 3848 4329 4736 4992 5328 5772 7104 7488 7696 8658 10656 11544 14208 14976 15392 17316 21312 23088 30784 34632 42624 46176 61568 69264 92352 138528 184704 277056 554112