Search a number
-
+
63449244 = 22377253
BaseRepresentation
bin1111001000001…
…0100010011100
311102101120000000
43302002202130
5112220333434
610143534300
71400211135
oct362024234
9142346000
1063449244
11328a73a1
12192ba390
13101b6c41
1485d8c8c
155884b99
hex3c8289c

63449244 has 48 divisors (see below), whose sum is σ = 166551840. Its totient is φ = 21146832.

The previous prime is 63449237. The next prime is 63449251. The reversal of 63449244 is 44294436.

It is an interprime number because it is at equal distance from previous prime (63449237) and next prime (63449251).

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 junction number, because it is equal to n+sod(n) for n = 63449199 and 63449208.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5122 + ... + 12374.

It is an arithmetic number, because the mean of its divisors is an integer number (3469830).

Almost surely, 263449244 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 63449244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83275920).

63449244 is an abundant number, since it is smaller than the sum of its proper divisors (103102596).

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

63449244 is an equidigital number, since it uses as much as digits as its factorization.

63449244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7258 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 63449244 is about 7965.5033739243. The cubic root of 63449244 is about 398.8492844755.

The spelling of 63449244 in words is "sixty-three million, four hundred forty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 7253 8748 14506 21759 29012 43518 65277 87036 130554 195831 261108 391662 587493 783324 1174986 1762479 2349972 3524958 5287437 7049916 10574874 15862311 21149748 31724622 63449244