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5028192 = 2532131779
BaseRepresentation
bin10011001011100101100000
3100110110101100
4103023211200
52241400232
6255434400
760511311
oct23134540
910413340
105028192
112924834
121825a00
131070880
1494c608
15694c7c
hex4cb960

5028192 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1437696.

The previous prime is 5028181. The next prime is 5028197. The reversal of 5028192 is 2918205.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63609 + ... + 63687.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 25028192 is an apocalyptic number.

5028192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5028192 is an abundant number, since it is smaller than the sum of its proper divisors (11482848).

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

5028192 is a wasteful number, since it uses less digits than its factorization.

5028192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5028192 is about 2242.3630392958. The cubic root of 5028192 is about 171.3183768009.

The spelling of 5028192 in words is "five million, twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 79 96 102 104 117 136 144 153 156 158 204 208 221 234 237 272 288 306 312 316 408 416 442 468 474 544 612 624 632 663 711 816 884 936 948 1027 1224 1248 1264 1326 1343 1422 1632 1768 1872 1896 1989 2054 2448 2528 2652 2686 2844 3081 3536 3744 3792 3978 4029 4108 4896 5304 5372 5688 6162 7072 7584 7956 8058 8216 9243 10608 10744 11376 12087 12324 15912 16116 16432 17459 18486 21216 21488 22752 24174 24648 31824 32232 32864 34918 36972 42976 48348 49296 52377 63648 64464 69836 73944 96696 98592 104754 128928 139672 147888 157131 193392 209508 279344 295776 314262 386784 419016 558688 628524 838032 1257048 1676064 2514096 5028192