Search a number
-
+
5179416 = 2331123853
BaseRepresentation
bin10011110000100000011000
3100202010211020
4103300200120
52311220131
6303002440
762011224
oct23604030
910663736
105179416
112a18410
121899420
1310c4658
1498b784
156c4996
hex4f0818

5179416 has 64 divisors (see below), whose sum is σ = 14757120. Its totient is φ = 1499520.

The previous prime is 5179411. The next prime is 5179481. The reversal of 5179416 is 6149715.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5646 + ... + 6498.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 25179416 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 5179416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378560).

5179416 is an abundant number, since it is smaller than the sum of its proper divisors (9577704).

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

5179416 is a wasteful number, since it uses less digits than its factorization.

5179416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 5179416 is about 2275.8330342976. The cubic root of 5179416 is about 173.0189204918.

Subtracting 5179416 from its reverse (6149715), we obtain a cube (970299 = 993).

The spelling of 5179416 in words is "five million, one hundred seventy-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 853 1012 1518 1706 2024 2559 3036 3412 5118 6072 6824 9383 10236 18766 19619 20472 28149 37532 39238 56298 58857 75064 78476 112596 117714 156952 215809 225192 235428 431618 470856 647427 863236 1294854 1726472 2589708 5179416