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5145184 = 251147311
BaseRepresentation
bin10011101000001001100000
3100200101212101
4103220021200
52304121214
6302140144
761506352
oct23501140
910611771
105145184
1129a4720
121881654
1310b1bb5
1497d0d2
156b9774
hex4e8260

5145184 has 48 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 2281600.

The previous prime is 5145149. The next prime is 5145197. The reversal of 5145184 is 4815415.

5145184 = 213 + 223 + ... + 673.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16389 + ... + 16699.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 25145184 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 5145184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

5145184 is an abundant number, since it is smaller than the sum of its proper divisors (6176672).

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

5145184 is a wasteful number, since it uses less digits than its factorization.

5145184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

The square root of 5145184 is about 2268.2998038178. The cubic root of 5145184 is about 172.6369031515.

It can be divided in two parts, 5145 and 184, that added together give a square (5329 = 732).

The spelling of 5145184 in words is "five million, one hundred forty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 311 352 376 517 622 752 1034 1244 1504 2068 2488 3421 4136 4976 6842 8272 9952 13684 14617 16544 27368 29234 54736 58468 109472 116936 160787 233872 321574 467744 643148 1286296 2572592 5145184