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56022000 = 243539337
BaseRepresentation
bin1101010110110…
…1001111110000
310220102012201220
43111231033300
5103320201000
65320425040
71250115306
oct325551760
9126365656
1056022000
1129694181
1216918180
13b7b6418
147624276
154db91a0
hex356d3f0

56022000 has 80 divisors (see below), whose sum is σ = 180634272. Its totient is φ = 14937600.

The previous prime is 56021963. The next prime is 56022017. The reversal of 56022000 is 22065.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332 + ... + 10668.

Almost surely, 256022000 is an apocalyptic number.

56022000 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 56022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90317136).

56022000 is an abundant number, since it is smaller than the sum of its proper divisors (124612272).

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

56022000 is a wasteful number, since it uses less digits than its factorization.

56022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 56022000 is about 7484.7845660380. The cubic root of 56022000 is about 382.6363305737.

Adding to 56022000 its reverse (22065), we get a palindrome (56044065).

The spelling of 56022000 in words is "fifty-six million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 9337 18674 28011 37348 46685 56022 74696 93370 112044 140055 149392 186740 224088 233425 280110 373480 448176 466850 560220 700275 746960 933700 1120440 1167125 1400550 1867400 2240880 2334250 2801100 3501375 3734800 4668500 5602200 7002750 9337000 11204400 14005500 18674000 28011000 56022000