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5175828 = 22327192347
BaseRepresentation
bin10011101111101000010100
3100201221220100
4103233220110
52311111303
6302534100
761664610
oct23575024
910657810
105175828
112a15749
121897330
1310c2b28
1498a340
156c38a3
hex4efa14

5175828 has 144 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1311552.

The previous prime is 5175811. The next prime is 5175839. The reversal of 5175828 is 8285715.

5175828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 5175792 and 5175801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110101 + ... + 110147.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 25175828 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 5175828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

5175828 is an abundant number, since it is smaller than the sum of its proper divisors (11597292).

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

5175828 is a wasteful number, since it uses less digits than its factorization.

5175828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 5175828 is about 2275.0446149471. The cubic root of 5175828 is about 172.9789587605.

It can be divided in two parts, 5175 and 828, that multiplied together give a square (4284900 = 20702).

The spelling of 5175828 in words is "five million, one hundred seventy-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 23 28 36 38 42 46 47 57 63 69 76 84 92 94 114 126 133 138 141 161 171 188 207 228 252 266 276 282 322 329 342 399 414 423 437 483 532 564 644 658 684 798 828 846 874 893 966 987 1081 1197 1311 1316 1449 1596 1692 1748 1786 1932 1974 2162 2394 2622 2679 2898 2961 3059 3243 3572 3933 3948 4324 4788 5244 5358 5796 5922 6118 6251 6486 7567 7866 8037 9177 9729 10716 11844 12236 12502 12972 15134 15732 16074 18354 18753 19458 20539 22701 25004 27531 30268 32148 36708 37506 38916 41078 45402 55062 56259 61617 68103 75012 82156 90804 110124 112518 123234 136206 143773 184851 225036 246468 272412 287546 369702 431319 575092 739404 862638 1293957 1725276 2587914 5175828