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5103252 = 22327211263
BaseRepresentation
bin10011011101111010010100
3100121021100100
4103131322110
52301301002
6301214100
761243200
oct23357224
910537310
105103252
112976170
121861330
131098a9b
1496bb00
156ac11c
hex4dde94

5103252 has 108 divisors (see below), whose sum is σ = 16432416. Its totient is φ = 1320480.

The previous prime is 5103239. The next prime is 5103257. The reversal of 5103252 is 2523015.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5103257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19273 + ... + 19535.

It is an arithmetic number, because the mean of its divisors is an integer number (152152).

Almost surely, 25103252 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 5103252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216208).

5103252 is an abundant number, since it is smaller than the sum of its proper divisors (11329164).

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

5103252 is a wasteful number, since it uses less digits than its factorization.

5103252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5103252 is about 2259.0378482885. The cubic root of 5103252 is about 172.1666403750.

Adding to 5103252 its reverse (2523015), we get a palindrome (7626267).

It can be divided in two parts, 5103 and 252, that multiplied together give a square (1285956 = 11342).

The spelling of 5103252 in words is "five million, one hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 263 294 308 396 441 462 526 539 588 693 789 882 924 1052 1078 1386 1578 1617 1764 1841 2156 2367 2772 2893 3156 3234 3682 4734 4851 5523 5786 6468 7364 8679 9468 9702 11046 11572 12887 16569 17358 19404 20251 22092 25774 26037 33138 34716 38661 40502 51548 52074 60753 66276 77322 81004 104148 115983 121506 141757 154644 182259 231966 243012 283514 364518 425271 463932 567028 729036 850542 1275813 1701084 2551626 5103252