Search a number
-
+
55041696 = 2532383499
BaseRepresentation
bin1101000111110…
…1111010100000
310211120102000100
43101331322200
5103042313241
65243422400
71235563263
oct321757240
9124512010
1055041696
1129084706
1216524a00
13b532168
14744acda
154c739b6
hex347dea0

55041696 has 72 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 18262656.

The previous prime is 55041683. The next prime is 55041731. The reversal of 55041696 is 69614055.

55041696 is a `hidden beast` number, since 550 + 4 + 16 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 55041696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110055 + ... + 110553.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 255041696 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 55041696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

55041696 is an abundant number, since it is smaller than the sum of its proper divisors (102206304).

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

55041696 is a wasteful number, since it uses less digits than its factorization.

55041696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55041696 is about 7419.0090982556. The cubic root of 55041696 is about 380.3913235622.

The spelling of 55041696 in words is "fifty-five million, forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 499 766 998 1149 1497 1532 1996 2298 2994 3064 3447 3992 4491 4596 5988 6128 6894 7984 8982 9192 11976 12256 13788 15968 17964 18384 23952 27576 35928 36768 47904 55152 71856 110304 143712 191117 382234 573351 764468 1146702 1528936 1720053 2293404 3057872 3440106 4586808 6115744 6880212 9173616 13760424 18347232 27520848 55041696