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5068896 = 253719397
BaseRepresentation
bin10011010101100001100000
3100112112012220
4103111201200
52244201041
6300351040
761041060
oct23254140
910475186
105068896
112952378
121845480
131086261
1495d3a0
156a1d66
hex4d5860

5068896 has 96 divisors (see below), whose sum is σ = 16047360. Its totient is φ = 1368576.

The previous prime is 5068891. The next prime is 5068909. The reversal of 5068896 is 6988605.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5068891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12570 + ... + 12966.

It is an arithmetic number, because the mean of its divisors is an integer number (167160).

Almost surely, 25068896 is an apocalyptic number.

5068896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023680).

5068896 is an abundant number, since it is smaller than the sum of its proper divisors (10978464).

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

5068896 is a wasteful number, since it uses less digits than its factorization.

5068896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5068896 is about 2251.4208846859. The cubic root of 5068896 is about 171.7794179738.

The spelling of 5068896 in words is "five million, sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 397 399 456 532 608 672 794 798 912 1064 1191 1588 1596 1824 2128 2382 2779 3176 3192 4256 4764 5558 6352 6384 7543 8337 9528 11116 12704 12768 15086 16674 19056 22232 22629 30172 33348 38112 44464 45258 52801 60344 66696 88928 90516 105602 120688 133392 158403 181032 211204 241376 266784 316806 362064 422408 633612 724128 844816 1267224 1689632 2534448 5068896