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55406592 = 21234167
BaseRepresentation
bin1101001101011…
…1000000000000
310212020221120000
43103113000000
5103141002332
65255320000
71241643153
oct323270000
9125227500
1055406592
112930387a
1216680000
13b62c287
147503c9a
154ce6b7c
hex34d7000

55406592 has 130 divisors (see below), whose sum is σ = 166506648. Its totient is φ = 18358272.

The previous prime is 55406591. The next prime is 55406599. The reversal of 55406592 is 29560455.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55406591) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331693 + ... + 331859.

Almost surely, 255406592 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 55406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83253324).

55406592 is an abundant number, since it is smaller than the sum of its proper divisors (111100056).

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

55406592 is an equidigital number, since it uses as much as digits as its factorization.

55406592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55406592 is about 7443.5604383924. The cubic root of 55406592 is about 381.2300675058.

The spelling of 55406592 in words is "fifty-five million, four hundred six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 167 192 216 256 288 324 334 384 432 501 512 576 648 668 768 864 1002 1024 1152 1296 1336 1503 1536 1728 2004 2048 2304 2592 2672 3006 3072 3456 4008 4096 4509 4608 5184 5344 6012 6144 6912 8016 9018 9216 10368 10688 12024 12288 13527 13824 16032 18036 18432 20736 21376 24048 27054 27648 32064 36072 36864 41472 42752 48096 54108 55296 64128 72144 82944 85504 96192 108216 110592 128256 144288 165888 171008 192384 216432 256512 288576 331776 342016 384768 432864 513024 577152 684032 769536 865728 1026048 1154304 1539072 1731456 2052096 2308608 3078144 3462912 4617216 6156288 6925824 9234432 13851648 18468864 27703296 55406592