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5665248 = 25337983
BaseRepresentation
bin10101100111000111100000
3101122211021000
4111213013200
52422241443
6321232000
766103521
oct25470740
911584230
105665248
11321a426
121a92600
131234824
14a76848
1576d8d3
hex5671e0

5665248 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1842048.

The previous prime is 5665243. The next prime is 5665259. The reversal of 5665248 is 8425665.

5665248 is a `hidden beast` number, since 566 + 52 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665243) by changing a digit.

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, 68215 + ... + 68297.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25665248 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 5665248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5665248 is an abundant number, since it is smaller than the sum of its proper divisors (11269152).

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

5665248 is a wasteful number, since it uses less digits than its factorization.

5665248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5665248 is about 2380.1781445934. The cubic root of 5665248 is about 178.2678289328.

The spelling of 5665248 in words is "five million, six hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 83 96 108 144 158 166 216 237 249 288 316 332 432 474 498 632 664 711 747 864 948 996 1264 1328 1422 1494 1896 1992 2133 2241 2528 2656 2844 2988 3792 3984 4266 4482 5688 5976 6557 7584 7968 8532 8964 11376 11952 13114 17064 17928 19671 22752 23904 26228 34128 35856 39342 52456 59013 68256 71712 78684 104912 118026 157368 177039 209824 236052 314736 354078 472104 629472 708156 944208 1416312 1888416 2832624 5665248