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2478112 = 257132337
BaseRepresentation
bin1001011101000000100000
311122220022221
421131000200
51113244422
6125040424
730030550
oct11350040
94586287
102478112
11144292a
129b6114
13689c50
14487160
1533e3c7
hex25d020

2478112 has 96 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 912384.

The previous prime is 2478101. The next prime is 2478173. The reversal of 2478112 is 2118742.

It is a happy number.

It is a super-2 number, since 2×24781122 = 12282078169088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66958 + ... + 66994.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

22478112 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 2478112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2478112 is an abundant number, since it is smaller than the sum of its proper divisors (3956960).

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

2478112 is a wasteful number, since it uses less digits than its factorization.

2478112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 2478112 is about 1574.2020200724. The cubic root of 2478112 is about 135.3236314129.

The spelling of 2478112 in words is "two million, four hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 37 46 52 56 74 91 92 104 112 148 161 182 184 208 224 259 296 299 322 364 368 416 481 518 592 598 644 728 736 851 962 1036 1184 1196 1288 1456 1702 1924 2072 2093 2392 2576 2912 3367 3404 3848 4144 4186 4784 5152 5957 6734 6808 7696 8288 8372 9568 11063 11914 13468 13616 15392 16744 22126 23828 26936 27232 33488 44252 47656 53872 66976 77441 88504 95312 107744 154882 177008 190624 309764 354016 619528 1239056 2478112