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55821312 = 21034673
BaseRepresentation
bin1101010011110…
…0010000000000
310220001000110000
43110330100000
5103242240222
65312240000
71245321231
oct324742000
9126030400
1055821312
1129567418
1216840000
13b745c81
1475b1088
154d799ac
hex353c400

55821312 has 110 divisors (see below), whose sum is σ = 166941038. Its totient is φ = 18579456.

The previous prime is 55821307. The next prime is 55821323. The reversal of 55821312 is 21312855.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 11943936 = 6624^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82608 + ... + 83280.

Almost surely, 255821312 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 55821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83470519).

55821312 is an abundant number, since it is smaller than the sum of its proper divisors (111119726).

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

55821312 is an equidigital number, since it uses as much as digits as its factorization.

55821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 678 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 55821312 is about 7471.3661401380. The cubic root of 55821312 is about 382.1788769628.

The spelling of 55821312 in words is "fifty-five million, eight hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 673 768 864 1024 1152 1296 1346 1536 1728 2019 2304 2592 2692 3072 3456 4038 4608 5184 5384 6057 6912 8076 9216 10368 10768 12114 13824 16152 18171 20736 21536 24228 27648 32304 36342 41472 43072 48456 54513 64608 72684 82944 86144 96912 109026 129216 145368 172288 193824 218052 258432 290736 344576 387648 436104 516864 581472 689152 775296 872208 1033728 1162944 1550592 1744416 2067456 2325888 3101184 3488832 4651776 6202368 6977664 9303552 13955328 18607104 27910656 55821312