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5040984 = 23313107151
BaseRepresentation
bin10011001110101101011000
3100111002221010
4103032231120
52242302414
6300013520
760563514
oct23165530
910432833
105040984
112933403
1218312a0
131076640
14953144
15698959
hex4ceb58

5040984 has 64 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1526400.

The previous prime is 5040961. The next prime is 5041007. The reversal of 5040984 is 4890405.

5040984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5040961) and next prime (5041007).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33309 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 25040984 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 5040984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

5040984 is an abundant number, since it is smaller than the sum of its proper divisors (8748456).

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

5040984 is a wasteful number, since it uses less digits than its factorization.

5040984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5040984 is about 2245.2135755870. The cubic root of 5040984 is about 171.4635349321.

The spelling of 5040984 in words is "five million, forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 151 156 214 302 312 321 428 453 604 642 856 906 1208 1284 1391 1812 1963 2568 2782 3624 3926 4173 5564 5889 7852 8346 11128 11778 15704 16157 16692 23556 32314 33384 47112 48471 64628 96942 129256 193884 210041 387768 420082 630123 840164 1260246 1680328 2520492 5040984