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54415400 = 23521320929
BaseRepresentation
bin1100111110010…
…1000000101000
310210101120220012
43033211000220
5102412243100
65222151052
71230344324
oct317450050
9123346805
1054415400
1128797106
1216282488
13b373080
147326984
154b9d135
hex33e5028

54415400 has 48 divisors (see below), whose sum is σ = 136254300. Its totient is φ = 20090880.

The previous prime is 54415391. The next prime is 54415409. The reversal of 54415400 is 451445.

It is an interprime number because it is at equal distance from previous prime (54415391) and next prime (54415409).

It can be written as a sum of positive squares in 6 ways, for example, as 11303044 + 43112356 = 3362^2 + 6566^2 .

It is a super-2 number, since 2×544154002 = 5922071514320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54415409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7865 + ... + 13064.

Almost surely, 254415400 is an apocalyptic number.

54415400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54415400 is an abundant number, since it is smaller than the sum of its proper divisors (81838900).

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

54415400 is a wasteful number, since it uses less digits than its factorization.

54415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20958 (or 20949 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 54415400 is about 7376.6794697886. The cubic root of 54415400 is about 378.9430462335.

Adding to 54415400 its reverse (451445), we get a palindrome (54866845).

The spelling of 54415400 in words is "fifty-four million, four hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 20929 41858 83716 104645 167432 209290 272077 418580 523225 544154 837160 1046450 1088308 1360385 2092900 2176616 2720770 4185800 5441540 6801925 10883080 13603850 27207700 54415400