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54440010 = 232553101113
BaseRepresentation
bin1100111110101…
…1000001001010
310210102211122200
43033223001022
5102414040020
65222501030
71230506142
oct317530112
9123384580
1054440010
1128803649
1216294776
13b381331
147331922
154ba5590
hex33eb04a

54440010 has 96 divisors (see below), whose sum is σ = 146931408. Its totient is φ = 13977600.

The previous prime is 54439993. The next prime is 54440027. The reversal of 54440010 is 1004445.

54440010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54439993) and next prime (54440027).

It can be written as a sum of positive squares in 8 ways, for example, as 27783441 + 26656569 = 5271^2 + 5163^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481714 + ... + 481826.

Almost surely, 254440010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73465704).

54440010 is an abundant number, since it is smaller than the sum of its proper divisors (92491398).

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

54440010 is a wasteful number, since it uses less digits than its factorization.

54440010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54440010 is about 7378.3473759372. The cubic root of 54440010 is about 379.0001647625. Note that the first 3 decimals are identical.

Adding to 54440010 its reverse (1004445), we get a palindrome (55444455).

The spelling of 54440010 in words is "fifty-four million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 101 106 113 159 202 226 265 303 318 339 477 505 530 565 606 678 795 909 954 1010 1017 1130 1515 1590 1695 1818 2034 2385 3030 3390 4545 4770 5085 5353 5989 9090 10170 10706 11413 11978 16059 17967 22826 26765 29945 32118 34239 35934 48177 53530 53901 57065 59890 68478 80295 89835 96354 102717 107802 114130 160590 171195 179670 205434 240885 269505 342390 481770 513585 539010 604889 1027170 1209778 1814667 3024445 3629334 5444001 6048890 9073335 10888002 18146670 27220005 54440010