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5234112 = 263313233
BaseRepresentation
bin10011111101110111000000
3100211220212000
4103331313000
52314442422
6304104000
762326542
oct23756700
910756760
105234112
112a55514
121905000
131113510
149a3692
156d5cac
hex4fddc0

5234112 has 112 divisors (see below), whose sum is σ = 16642080. Its totient is φ = 1603584.

The previous prime is 5234111. The next prime is 5234143. The reversal of 5234112 is 2114325.

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 (5234111) 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 15 ways as a sum of consecutive naturals, for example, 22348 + ... + 22580.

It is an arithmetic number, because the mean of its divisors is an integer number (148590).

Almost surely, 25234112 is an apocalyptic number.

5234112 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 5234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321040).

5234112 is an abundant number, since it is smaller than the sum of its proper divisors (11407968).

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

5234112 is a wasteful number, since it uses less digits than its factorization.

5234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5234112 is about 2287.8181745934. The cubic root of 5234112 is about 173.6258309231.

Adding to 5234112 its reverse (2114325), we get a palindrome (7348437).

The spelling of 5234112 in words is "five million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 233 234 288 312 351 416 432 466 468 576 624 699 702 832 864 932 936 1248 1398 1404 1728 1864 1872 2097 2496 2796 2808 3029 3728 3744 4194 5592 5616 6058 6291 7456 7488 8388 9087 11184 11232 12116 12582 14912 16776 18174 22368 22464 24232 25164 27261 33552 36348 44736 48464 50328 54522 67104 72696 81783 96928 100656 109044 134208 145392 163566 193856 201312 218088 290784 327132 402624 436176 581568 654264 872352 1308528 1744704 2617056 5234112