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112504464 = 2434471847
BaseRepresentation
bin1101011010010…
…10111010010000
321211200211010000
412231022322100
5212300120324
615055210000
72534162232
oct655127220
9254624100
10112504464
11585622a6
1231816900
131a4012b7
1410d28252
159d249c9
hex6b4ae90

112504464 has 100 divisors (see below), whose sum is σ = 332728704. Its totient is φ = 36683712.

The previous prime is 112504439. The next prime is 112504499. The reversal of 112504464 is 464405211.

112504464 is a `hidden beast` number, since 112 + 504 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 59989 + ... + 61835.

Almost surely, 2112504464 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 112504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

112504464 is an abundant number, since it is smaller than the sum of its proper divisors (220224240).

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

112504464 is a wasteful number, since it uses less digits than its factorization.

112504464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 112504464 is about 10606.8121506888. The cubic root of 112504464 is about 482.7510773215.

Adding to 112504464 its reverse (464405211), we get a palindrome (576909675).

The spelling of 112504464 in words is "one hundred twelve million, five hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 1128 1269 1296 1692 1847 2256 2538 3384 3694 3807 5076 5541 6768 7388 7614 10152 11082 14776 15228 16623 20304 22164 29552 30456 33246 44328 49869 60912 66492 86809 88656 99738 132984 149607 173618 199476 260427 265968 299214 347236 398952 520854 598428 694472 781281 797904 1041708 1196856 1388944 1562562 2083416 2343843 2393712 3125124 4166832 4687686 6250248 7031529 9375372 12500496 14063058 18750744 28126116 37501488 56252232 112504464