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55623024 = 2434167257
BaseRepresentation
bin1101010000101…
…1110101110000
310212122221110000
43110023311300
5103214414044
65304110000
71243534152
oct324136560
9125587400
1055623024
1129441446
1216765300
13b6a6942
14755cad2
154d3ad69
hex350bd70

55623024 has 100 divisors (see below), whose sum is σ = 162583344. Its totient is φ = 18358272.

The previous prime is 55622999. The next prime is 55623053. The reversal of 55623024 is 42032655.

55623024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 216304 + ... + 216560.

Almost surely, 255623024 is an apocalyptic number.

55623024 is a gapful number since it is divisible by the number (54) 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 55623024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81291672).

55623024 is an abundant number, since it is smaller than the sum of its proper divisors (106960320).

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

55623024 is a wasteful number, since it uses less digits than its factorization.

55623024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55623024 is about 7458.0844725707. The cubic root of 55623024 is about 381.7258158764.

Adding to 55623024 its reverse (42032655), we get a palindrome (97655679).

The spelling of 55623024 in words is "fifty-five million, six hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 167 216 257 324 334 432 501 514 648 668 771 1002 1028 1296 1336 1503 1542 2004 2056 2313 2672 3006 3084 4008 4112 4509 4626 6012 6168 6939 8016 9018 9252 12024 12336 13527 13878 18036 18504 20817 24048 27054 27756 36072 37008 41634 42919 54108 55512 72144 83268 85838 108216 111024 128757 166536 171676 216432 257514 333072 343352 386271 515028 686704 772542 1030056 1158813 1545084 2060112 2317626 3090168 3476439 4635252 6180336 6952878 9270504 13905756 18541008 27811512 55623024