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5505696 = 253272731
BaseRepresentation
bin10101000000001010100000
3101100201101200
4111000022200
52402140241
6314001200
764540410
oct25001240
911321350
105505696
113120569
121a16200
1311aa011
14a34640
1573b4b6
hex5402a0

5505696 has 72 divisors (see below), whose sum is σ = 17900064. Its totient is φ = 1572480.

The previous prime is 5505691. The next prime is 5505697. The reversal of 5505696 is 6965055.

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

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 a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 5505696.

It is not an unprimeable number, because it can be changed into a prime (5505691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (248612).

Almost surely, 25505696 is an apocalyptic number.

5505696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950032).

5505696 is an abundant number, since it is smaller than the sum of its proper divisors (12394368).

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

5505696 is a wasteful number, since it uses less digits than its factorization.

5505696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5505696 is about 2346.4219569378. The cubic root of 5505696 is about 176.5783316944.

The spelling of 5505696 in words is "five million, five hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2731 5462 8193 10924 16386 19117 21848 24579 32772 38234 43696 49158 57351 65544 76468 87392 98316 114702 131088 152936 172053 196632 229404 262176 305872 344106 393264 458808 611744 688212 786528 917616 1376424 1835232 2752848 5505696