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5335008 = 253717467
BaseRepresentation
bin10100010110011111100000
3101001001020220
4110112133200
52331210013
6310203040
763226650
oct24263740
911031226
105335008
1130142a8
121953480
13114a413
149cc360
15705b23
hex5167e0

5335008 has 96 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1431552.

The previous prime is 5335003. The next prime is 5335021. The reversal of 5335008 is 8005335.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335003) 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, 11191 + ... + 11657.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 25335008 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 5335008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5335008 is an abundant number, since it is smaller than the sum of its proper divisors (11647776).

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

5335008 is a wasteful number, since it uses less digits than its factorization.

5335008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5335008 is about 2309.7636242698. The cubic root of 5335008 is about 174.7343779846.

The spelling of 5335008 in words is "five million, three hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 467 476 544 672 714 816 934 952 1401 1428 1632 1868 1904 2802 2856 3269 3736 3808 5604 5712 6538 7472 7939 9807 11208 11424 13076 14944 15878 19614 22416 23817 26152 31756 39228 44832 47634 52304 55573 63512 78456 95268 104608 111146 127024 156912 166719 190536 222292 254048 313824 333438 381072 444584 666876 762144 889168 1333752 1778336 2667504 5335008