Search a number
-
+
5622984 = 2332292693
BaseRepresentation
bin10101011100110011001000
3101120200021200
4111130303020
52414413414
6320304200
765536353
oct25346310
911520250
105622984
1131a06a4
121a72060
13121b513
14a6529a
15761109
hex55ccc8

5622984 has 48 divisors (see below), whose sum is σ = 15759900. Its totient is φ = 1809024.

The previous prime is 5622977. The next prime is 5623003. The reversal of 5622984 is 4892265.

It is a happy number.

5622984 is a `hidden beast` number, since 562 + 2 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5616900 + 6084 = 2370^2 + 78^2 .

It is a super-3 number, since 3×56229843 (a number of 21 digits) contains 333 as substring.

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

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 742 + ... + 3434.

Almost surely, 25622984 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 5622984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879950).

5622984 is an abundant number, since it is smaller than the sum of its proper divisors (10136916).

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

5622984 is a wasteful number, since it uses less digits than its factorization.

5622984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2727 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5622984 is about 2371.2831969210. The cubic root of 5622984 is about 177.8234161764.

The spelling of 5622984 in words is "five million, six hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2693 5386 8079 10772 16158 21544 24237 32316 48474 64632 78097 96948 156194 193896 234291 312388 468582 624776 702873 937164 1405746 1874328 2811492 5622984