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55930848 = 2532373347
BaseRepresentation
bin1101010101011…
…0111111100000
310220020120200220
43111112333200
5103304241343
65314443040
71246255461
oct325267740
9126216626
1055930848
1129631746
1216893480
13b783a9c
1475dcd68
154d9c183
hex3556fe0

55930848 has 96 divisors (see below), whose sum is σ = 155748096. Its totient is φ = 17538048.

The previous prime is 55930841. The next prime is 55930873. The reversal of 55930848 is 84803955.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55930841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161011 + ... + 161357.

It is an arithmetic number, because the mean of its divisors is an integer number (1622376).

Almost surely, 255930848 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 55930848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77874048).

55930848 is an abundant number, since it is smaller than the sum of its proper divisors (99817248).

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

55930848 is a wasteful number, since it uses less digits than its factorization.

55930848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 55930848 is about 7478.6929339290. The cubic root of 55930848 is about 382.4286919060.

The spelling of 55930848 in words is "fifty-five million, nine hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 73 92 96 138 146 184 219 276 292 347 368 438 552 584 694 736 876 1041 1104 1168 1388 1679 1752 2082 2208 2336 2776 3358 3504 4164 5037 5552 6716 7008 7981 8328 10074 11104 13432 15962 16656 20148 23943 25331 26864 31924 33312 40296 47886 50662 53728 63848 75993 80592 95772 101324 127696 151986 161184 191544 202648 255392 303972 383088 405296 582613 607944 766176 810592 1165226 1215888 1747839 2330452 2431776 3495678 4660904 6991356 9321808 13982712 18643616 27965424 55930848