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55431024 = 24311277379
BaseRepresentation
bin1101001101110…
…0111101110000
310212022012001220
43103130331300
5103142243044
65300025040
71242104325
oct323347560
9125265056
1055431024
1129320170
1216692180
13b63a42c
14750cb4c
154cee019
hex34dcf70

55431024 has 80 divisors (see below), whose sum is σ = 157192320. Its totient is φ = 16692480.

The previous prime is 55431011. The next prime is 55431041. The reversal of 55431024 is 42013455.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 55430985 and 55431003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146067 + ... + 146445.

It is an arithmetic number, because the mean of its divisors is an integer number (1964904).

Almost surely, 255431024 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 55431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78596160).

55431024 is an abundant number, since it is smaller than the sum of its proper divisors (101761296).

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

55431024 is a wasteful number, since it uses less digits than its factorization.

55431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 55431024 is about 7445.2014076182. The cubic root of 55431024 is about 381.2860947999.

Adding to 55431024 its reverse (42013455), we get a palindrome (97444479).

Subtracting from 55431024 its reverse (42013455), we obtain a square (13417569 = 36632).

The spelling of 55431024 in words is "fifty-five million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 277 379 528 554 758 831 1108 1137 1516 1662 2216 2274 3032 3047 3324 4169 4432 4548 6064 6094 6648 8338 9096 9141 12188 12507 13296 16676 18192 18282 24376 25014 33352 36564 48752 50028 66704 73128 100056 104983 146256 200112 209966 314949 419932 629898 839864 1154813 1259796 1679728 2309626 2519592 3464439 4619252 5039184 6928878 9238504 13857756 18477008 27715512 55431024