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55823424 = 2631671741
BaseRepresentation
bin1101010011110…
…0110001000000
310220001010100020
43110330301000
5103242322144
65312253440
71245330336
oct324746100
9126033306
1055823424
1129568a68
1216841280
13b746c17
1475b1b56
154d7a419
hex353cc40

55823424 has 56 divisors (see below), whose sum is σ = 148669248. Its totient is φ = 18485760.

The previous prime is 55823419. The next prime is 55823429. The reversal of 55823424 is 42432855.

It is an interprime number because it is at equal distance from previous prime (55823419) and next prime (55823429).

It is not an unprimeable number, because it can be changed into a prime (55823429) 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 7 ways as a sum of consecutive naturals, for example, 31194 + ... + 32934.

It is an arithmetic number, because the mean of its divisors is an integer number (2654808).

Almost surely, 255823424 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 55823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74334624).

55823424 is an abundant number, since it is smaller than the sum of its proper divisors (92845824).

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

55823424 is a wasteful number, since it uses less digits than its factorization.

55823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1913 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 55823424 is about 7471.5074784142. The cubic root of 55823424 is about 382.1836968161.

The spelling of 55823424 in words is "fifty-five million, eight hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 1741 2004 2672 3482 4008 5223 5344 6964 8016 10446 10688 13928 16032 20892 27856 32064 41784 55712 83568 111424 167136 290747 334272 581494 872241 1162988 1744482 2325976 3488964 4651952 6977928 9303904 13955856 18607808 27911712 55823424