Search a number
-
+
55399860 = 223252910613
BaseRepresentation
bin1101001101010…
…1010110110100
310212020121022200
43103111112310
5103140243420
65255224500
71241614425
oct323252664
9125217280
1055399860
11292a980a
1216678130
13b6291a9
14750164c
154ce4b90
hex34d55b4

55399860 has 72 divisors (see below), whose sum is σ = 173857320. Its totient is φ = 14262528.

The previous prime is 55399853. The next prime is 55399891. The reversal of 55399860 is 6899355.

55399860 is a `hidden beast` number, since 553 + 9 + 98 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 32012964 = 4836^2 + 5658^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87 + ... + 10526.

It is an arithmetic number, because the mean of its divisors is an integer number (2414685).

Almost surely, 255399860 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 55399860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86928660).

55399860 is an abundant number, since it is smaller than the sum of its proper divisors (118457460).

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

55399860 is a wasteful number, since it uses less digits than its factorization.

55399860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 55399860 is about 7443.1082217042. The cubic root of 55399860 is about 381.2146268355.

The spelling of 55399860 in words is "fifty-five million, three hundred ninety-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 10613 21226 31839 42452 53065 63678 95517 106130 127356 159195 191034 212260 307777 318390 382068 477585 615554 636780 923331 955170 1231108 1538885 1846662 1910340 2769993 3077770 3693324 4616655 5539986 6155540 9233310 11079972 13849965 18466620 27699930 55399860