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5104224 = 253237479
BaseRepresentation
bin10011011110001001100000
3100121022200100
4103132021200
52301313344
6301222400
761246056
oct23361140
910538610
105104224
112976974
121861a00
131099368
1496c1d6
156ac569
hex4de260

5104224 has 72 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1651968.

The previous prime is 5104207. The next prime is 5104249. The reversal of 5104224 is 4224015.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5104197 and 5104206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10417 + ... + 10895.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 25104224 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 5104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5104224 is an abundant number, since it is smaller than the sum of its proper divisors (9834336).

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

5104224 is a wasteful number, since it uses less digits than its factorization.

5104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5104224 is about 2259.2529738832. The cubic root of 5104224 is about 172.1775703566.

Adding to 5104224 its reverse (4224015), we get a palindrome (9328239).

The spelling of 5104224 in words is "five million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 479 592 666 888 958 1184 1332 1437 1776 1916 2664 2874 3552 3832 4311 5328 5748 7664 8622 10656 11496 15328 17244 17723 22992 34488 35446 45984 53169 68976 70892 106338 137952 141784 159507 212676 283568 319014 425352 567136 638028 850704 1276056 1701408 2552112 5104224