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5406648 = 2331323143
BaseRepresentation
bin10100100111111110111000
3101011200112020
4110213332320
52341003043
6311514440
763645552
oct24477670
911150466
105406648
113063105
121988a20
131173c00
14a0a4d2
1571be83
hex527fb8

5406648 has 96 divisors (see below), whose sum is σ = 15459840. Its totient is φ = 1572480.

The previous prime is 5406647. The next prime is 5406649. The reversal of 5406648 is 8466045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5406647) and next prime (5406649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125715 + ... + 125757.

It is an arithmetic number, because the mean of its divisors is an integer number (161040).

Almost surely, 25406648 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 5406648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729920).

5406648 is an abundant number, since it is smaller than the sum of its proper divisors (10053192).

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

5406648 is a wasteful number, since it uses less digits than its factorization.

5406648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5406648 is about 2325.2199895924. The cubic root of 5406648 is about 175.5130305825.

The spelling of 5406648 in words is "five million, four hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 43 52 62 78 86 93 104 124 129 156 169 172 186 248 258 312 338 344 372 403 507 516 559 676 744 806 1014 1032 1118 1209 1333 1352 1612 1677 2028 2236 2418 2666 3224 3354 3999 4056 4472 4836 5239 5332 6708 7267 7998 9672 10478 10664 13416 14534 15717 15996 17329 20956 21801 29068 31434 31992 34658 41912 43602 51987 58136 62868 69316 87204 103974 125736 138632 174408 207948 225277 415896 450554 675831 901108 1351662 1802216 2703324 5406648