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56054400 = 273525839
BaseRepresentation
bin1101010111010…
…1001010000000
310220110212011220
43111311022000
5103322220100
65321235040
71250311623
oct325651200
9126425156
1056054400
1129706556
1216932a80
13b7c80ac
147631dba
154dc3aa0
hex3575280

56054400 has 96 divisors (see below), whose sum is σ = 184660800. Its totient is φ = 14945280.

The previous prime is 56054399. The next prime is 56054407. The reversal of 56054400 is 445065.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (56054407) 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 11 ways as a sum of consecutive naturals, for example, 6681 + ... + 12519.

It is an arithmetic number, because the mean of its divisors is an integer number (1923550).

Almost surely, 256054400 is an apocalyptic number.

56054400 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 56054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92330400).

56054400 is an abundant number, since it is smaller than the sum of its proper divisors (128606400).

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

56054400 is a wasteful number, since it uses less digits than its factorization.

56054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5849 counting only the distinct ones).

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

The square root of 56054400 is about 7486.9486441407. The cubic root of 56054400 is about 382.7100815280.

Adding to 56054400 its reverse (445065), we get a palindrome (56499465).

The spelling of 56054400 in words is "fifty-six million, fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 5839 9600 11678 17517 23356 29195 35034 46712 58390 70068 87585 93424 116780 140136 145975 175170 186848 233560 280272 291950 350340 373696 437925 467120 560544 583900 700680 747392 875850 934240 1121088 1167800 1401360 1751700 1868480 2242176 2335600 2802720 3503400 3736960 4671200 5605440 7006800 9342400 11210880 14013600 18684800 28027200 56054400