Search a number
-
+
4984416 = 2535641
BaseRepresentation
bin10011000000111001100000
3100101020100000
4103000321200
52234000131
6254500000
760236553
oct23007140
910336300
104984416
1128a4958
121804600
131056978
1493a69a
15686ce6
hex4c0e60

4984416 has 72 divisors (see below), whose sum is σ = 14722344. Its totient is φ = 1658880.

The previous prime is 4984391. The next prime is 4984423. The reversal of 4984416 is 6144894.

It is a happy number.

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

It is a super-2 number, since 2×49844162 = 49688805722112, which contains 22 as substring.

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 7456 + ... + 8096.

It is an arithmetic number, because the mean of its divisors is an integer number (204477).

Almost surely, 24984416 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 4984416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361172).

4984416 is an abundant number, since it is smaller than the sum of its proper divisors (9737928).

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

4984416 is an equidigital number, since it uses as much as digits as its factorization.

4984416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 646 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4984416 is about 2232.5805696548. The cubic root of 4984416 is about 170.8197546746.

The spelling of 4984416 in words is "four million, nine hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 641 648 864 972 1282 1296 1923 1944 2564 2592 3846 3888 5128 5769 7692 7776 10256 11538 15384 17307 20512 23076 30768 34614 46152 51921 61536 69228 92304 103842 138456 155763 184608 207684 276912 311526 415368 553824 623052 830736 1246104 1661472 2492208 4984416