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5373648 = 243371777
BaseRepresentation
bin10100011111111011010000
3101010000021000
4110133323100
52333424043
6311102000
763450420
oct24377320
911100230
105373648
113040335
121971900
131161b97
149dc480
157122d3
hex51fed0

5373648 has 80 divisors (see below), whose sum is σ = 17637760. Its totient is φ = 1534464.

The previous prime is 5373611. The next prime is 5373653. The reversal of 5373648 is 8463735.

It is a happy number.

5373648 is a `hidden beast` number, since 5 + 3 + 7 + 3 + 648 = 666.

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

It is a d-powerful number, because it can be written as 53 + 33 + 74 + 313 + 68 + 4 + 87 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136 + ... + 3912.

It is an arithmetic number, because the mean of its divisors is an integer number (220472).

Almost surely, 25373648 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 5373648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818880).

5373648 is an abundant number, since it is smaller than the sum of its proper divisors (12264112).

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

5373648 is a wasteful number, since it uses less digits than its factorization.

5373648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1789 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5373648 is about 2318.1130257173. The cubic root of 5373648 is about 175.1552146740.

The spelling of 5373648 in words is "five million, three hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1777 3024 3554 5331 7108 10662 12439 14216 15993 21324 24878 28432 31986 37317 42648 47979 49756 63972 74634 85296 95958 99512 111951 127944 149268 191916 199024 223902 255888 298536 335853 383832 447804 597072 671706 767664 895608 1343412 1791216 2686824 5373648