Search a number
-
+
5648448 = 263133173
BaseRepresentation
bin10101100011000001000000
3101121222012210
4111203001000
52421222243
6321022120
766003531
oct25430100
911558183
105648448
113208843
121a84940
131229ca0
14a70688
15768933
hex563040

5648448 has 112 divisors (see below), whose sum is σ = 16841216. Its totient is φ = 1658880.

The previous prime is 5648429. The next prime is 5648449. The reversal of 5648448 is 8448465.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5648449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77340 + ... + 77412.

It is an arithmetic number, because the mean of its divisors is an integer number (150368).

Almost surely, 25648448 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 5648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420608).

5648448 is an abundant number, since it is smaller than the sum of its proper divisors (11192768).

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

5648448 is a wasteful number, since it uses less digits than its factorization.

5648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 5648448 is about 2376.6463767250. The cubic root of 5648448 is about 178.0914397839.

The spelling of 5648448 in words is "five million, six hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 73 78 93 96 104 124 146 156 186 192 208 219 248 292 312 372 403 416 438 496 584 624 744 806 832 876 949 992 1168 1209 1248 1488 1612 1752 1898 1984 2263 2336 2418 2496 2847 2976 3224 3504 3796 4526 4672 4836 5694 5952 6448 6789 7008 7592 9052 9672 11388 12896 13578 14016 15184 18104 19344 22776 25792 27156 29419 30368 36208 38688 45552 54312 58838 60736 72416 77376 88257 91104 108624 117676 144832 176514 182208 217248 235352 353028 434496 470704 706056 941408 1412112 1882816 2824224 5648448