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56623000 = 235378089
BaseRepresentation
bin1101011111111…
…1111110011000
310221112202011011
43113333332120
5103443414000
65341343304
71255200430
oct327777630
9127482134
1056623000
1129a64775
1216b67b34
13b966b45
14773d2c0
154e872ba
hex35fff98

56623000 has 64 divisors (see below), whose sum is σ = 151444800. Its totient is φ = 19411200.

The previous prime is 56622991. The next prime is 56623001. The reversal of 56623000 is 32665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56623001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956 + ... + 11044.

It is an arithmetic number, because the mean of its divisors is an integer number (2366325).

Almost surely, 256623000 is an apocalyptic number.

56623000 is a gapful number since it is divisible by the number (50) 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 56623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75722400).

56623000 is an abundant number, since it is smaller than the sum of its proper divisors (94821800).

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

56623000 is a wasteful number, since it uses less digits than its factorization.

56623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 56623000 is about 7524.8255793739. The cubic root of 56623000 is about 383.9997649015. Note that the first 3 decimals are identical.

Adding to 56623000 its reverse (32665), we get a palindrome (56655665).

The spelling of 56623000 in words is "fifty-six million, six hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 8089 16178 32356 40445 56623 64712 80890 113246 161780 202225 226492 283115 323560 404450 452984 566230 808900 1011125 1132460 1415575 1617800 2022250 2264920 2831150 4044500 5662300 7077875 8089000 11324600 14155750 28311500 56623000