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55821348 = 223211731931
BaseRepresentation
bin1101010011110…
…0010000100100
310220001000111100
43110330100210
5103242240343
65312240100
71245321312
oct324742044
9126030440
1055821348
1129567450
1216840030
13b745cab
1475b10b2
154d799d3
hex353c424

55821348 has 72 divisors (see below), whose sum is σ = 156121056. Its totient is φ = 16675200.

The previous prime is 55821347. The next prime is 55821379. The reversal of 55821348 is 84312855.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55821341) 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 23 ways as a sum of consecutive naturals, for example, 27943 + ... + 29873.

It is an arithmetic number, because the mean of its divisors is an integer number (2168348).

Almost surely, 255821348 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 55821348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78060528).

55821348 is an abundant number, since it is smaller than the sum of its proper divisors (100299708).

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

55821348 is a wasteful number, since it uses less digits than its factorization.

55821348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2020 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 55821348 is about 7471.3685493355. The cubic root of 55821348 is about 382.1789591204.

It can be divided in two parts, 55821 and 348, that added together give a square (56169 = 2372).

The spelling of 55821348 in words is "fifty-five million, eight hundred twenty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 1931 2409 2628 3212 3862 4818 5793 7227 7724 9636 11586 14454 17379 21241 23172 28908 34758 42482 63723 69516 84964 127446 140963 191169 254892 281926 382338 422889 563852 764676 845778 1268667 1550593 1691556 2537334 3101186 4651779 5074668 6202372 9303558 13955337 18607116 27910674 55821348