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48553024 = 26132672
BaseRepresentation
bin1011100100110…
…1110001000000
310101100202020011
42321031301000
544412144044
64452354304
71126460002
oct271156100
9111322204
1048553024
1125452673
1214315994
13a09c900
14663c372
1543e1134
hex2e4dc40

48553024 has 63 divisors (see below), whose sum is σ = 105909237. Its totient is φ = 22074624.

The previous prime is 48553019. The next prime is 48553073. The reversal of 48553024 is 42035584.

The square root of 48553024 is 6968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7182400 + 41370624 = 2680^2 + 6432^2 .

It is a super-2 number, since 2×485530242 = 4714792279089152, which contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 724639 + ... + 724705.

It is an arithmetic number, because the mean of its divisors is an integer number (1681099).

Almost surely, 248553024 is an apocalyptic number.

48553024 is the 6968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48553024

48553024 is an abundant number, since it is smaller than the sum of its proper divisors (57356213).

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

48553024 is an equidigital number, since it uses as much as digits as its factorization.

48553024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The cubic root of 48553024 is about 364.8145026039.

The spelling of 48553024 in words is "forty-eight million, five hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 169 208 268 338 416 536 676 832 871 1072 1352 1742 2144 2704 3484 4288 4489 5408 6968 8978 10816 11323 13936 17956 22646 27872 35912 45292 55744 58357 71824 90584 116714 143648 181168 233428 287296 362336 466856 724672 758641 933712 1517282 1867424 3034564 3734848 6069128 12138256 24276512 48553024