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5007984 = 2431011033
BaseRepresentation
bin10011000110101001110000
3100102102122220
4103012221300
52240223414
6255201040
760365352
oct23065160
910372586
105007984
112910633
121816180
131064607
149450d2
1568dca9
hex4c6a70

5007984 has 40 divisors (see below), whose sum is σ = 13078032. Its totient is φ = 1651200.

The previous prime is 5007983. The next prime is 5008007. The reversal of 5007984 is 4897005.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4332 + ... + 5364.

Almost surely, 25007984 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 5007984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539016).

5007984 is an abundant number, since it is smaller than the sum of its proper divisors (8070048).

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

5007984 is a wasteful number, since it uses less digits than its factorization.

5007984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5007984 is about 2237.8525420590. The cubic root of 5007984 is about 171.0885625854.

The spelling of 5007984 in words is "five million, seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1033 1212 1616 2066 2424 3099 4132 4848 6198 8264 12396 16528 24792 49584 104333 208666 312999 417332 625998 834664 1251996 1669328 2503992 5007984