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5019984 = 243271491
BaseRepresentation
bin10011001001100101010000
3100110001010100
4103021211100
52241114414
6255332400
760445344
oct23114520
910401110
105019984
112919652
121821100
131069c08
14949624
15692609
hex4c9950

5019984 has 60 divisors (see below), whose sum is σ = 14275872. Its totient is φ = 1646400.

The previous prime is 5019983. The next prime is 5019997. The reversal of 5019984 is 4899105.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9979 + ... + 10469.

Almost surely, 25019984 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 5019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137936).

5019984 is an abundant number, since it is smaller than the sum of its proper divisors (9255888).

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

5019984 is a wasteful number, since it uses less digits than its factorization.

5019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5019984 is about 2240.5320796632. The cubic root of 5019984 is about 171.2251062257.

The spelling of 5019984 in words is "five million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 491 568 639 852 982 1136 1278 1473 1704 1964 2556 2946 3408 3928 4419 5112 5892 7856 8838 10224 11784 17676 23568 34861 35352 69722 70704 104583 139444 209166 278888 313749 418332 557776 627498 836664 1254996 1673328 2509992 5019984