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5004384 = 253711677
BaseRepresentation
bin10011000101110001100000
3100102020201120
4103011301200
52240120014
6255132240
760352020
oct23056140
910366646
105004384
112908960
121814080
131062a98
14943a80
1568cba9
hex4c5c60

5004384 has 96 divisors (see below), whose sum is σ = 16402176. Its totient is φ = 1297920.

The previous prime is 5004367. The next prime is 5004401. The reversal of 5004384 is 4834005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5004367) and next prime (5004401).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054 + ... + 7730.

It is an arithmetic number, because the mean of its divisors is an integer number (170856).

Almost surely, 25004384 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 5004384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201088).

5004384 is an abundant number, since it is smaller than the sum of its proper divisors (11397792).

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

5004384 is a wasteful number, since it uses less digits than its factorization.

5004384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5004384 is about 2237.0480549152. The cubic root of 5004384 is about 171.0475569652.

Adding to 5004384 its reverse (4834005), we get a palindrome (9838389).

It can be divided in two parts, 500 and 4384, that added together give a palindrome (4884).

The spelling of 5004384 in words is "five million, four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 677 924 1056 1232 1354 1848 2031 2464 2708 3696 4062 4739 5416 7392 7447 8124 9478 10832 14217 14894 16248 18956 21664 22341 28434 29788 32496 37912 44682 52129 56868 59576 64992 75824 89364 104258 113736 119152 151648 156387 178728 208516 227472 238304 312774 357456 417032 454944 625548 714912 834064 1251096 1668128 2502192 5004384