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48412224 = 2632712007
BaseRepresentation
bin1011100010101…
…1011001000000
310101002121002100
42320223121000
544343142344
64445350400
71125332340
oct270533100
9111077070
1048412224
1125366903
1214268400
13a0507b3
146602d20
1543b4569
hex2e2b640

48412224 has 84 divisors (see below), whose sum is σ = 158601664. Its totient is φ = 13830912.

The previous prime is 48412219. The next prime is 48412237. The reversal of 48412224 is 42221484.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1972 + ... + 10035.

Almost surely, 248412224 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 48412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79300832).

48412224 is an abundant number, since it is smaller than the sum of its proper divisors (110189440).

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

48412224 is a wasteful number, since it uses less digits than its factorization.

48412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12019 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 48412224 is about 6957.8893351361. The cubic root of 48412224 is about 364.4615165951.

The spelling of 48412224 in words is "forty-eight million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 12007 24014 36021 48028 72042 84049 96056 108063 144084 168098 192112 216126 252147 288168 336196 384224 432252 504294 576336 672392 756441 768448 864504 1008588 1152672 1344784 1512882 1729008 2017176 2305344 2689568 3025764 3458016 4034352 5379136 6051528 6916032 8068704 12103056 16137408 24206112 48412224