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5035008 = 210311149
BaseRepresentation
bin10011001101010000000000
3100110210201210
4103031100000
52242110013
6255530120
760540216
oct23152000
910423653
105035008
112929970
121829940
1310739c4
14950cb6
15696cc3
hex4cd400

5035008 has 88 divisors (see below), whose sum is σ = 14738400. Its totient is φ = 1515520.

The previous prime is 5035003. The next prime is 5035021. The reversal of 5035008 is 8005305.

It is a tau number, because it is divible by the number of its divisors (88).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33718 + ... + 33866.

Almost surely, 25035008 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 5035008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369200).

5035008 is an abundant number, since it is smaller than the sum of its proper divisors (9703392).

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

5035008 is a wasteful number, since it uses less digits than its factorization.

5035008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5035008 is about 2243.8823498571. The cubic root of 5035008 is about 171.3957524476.

The spelling of 5035008 in words is "five million, thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 192 256 264 298 352 384 447 512 528 596 704 768 894 1024 1056 1192 1408 1536 1639 1788 2112 2384 2816 3072 3278 3576 4224 4768 4917 5632 6556 7152 8448 9536 9834 11264 13112 14304 16896 19072 19668 26224 28608 33792 38144 39336 52448 57216 76288 78672 104896 114432 152576 157344 209792 228864 314688 419584 457728 629376 839168 1258752 1678336 2517504 5035008