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48572064 = 2532191883
BaseRepresentation
bin1011100101001…
…0011010100000
310101101201100100
42321102122200
544413301224
64453022400
71126566342
oct271223240
9111351310
1048572064
1125465a02
1214324a00
13a0a8488
146645292
1543e6ac9
hex2e526a0

48572064 has 72 divisors (see below), whose sum is σ = 139007232. Its totient is φ = 16087680.

The previous prime is 48572059. The next prime is 48572087. The reversal of 48572064 is 46027584.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 54567 + ... + 55449.

It is an arithmetic number, because the mean of its divisors is an integer number (1930656).

Almost surely, 248572064 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 48572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69503616).

48572064 is an abundant number, since it is smaller than the sum of its proper divisors (90435168).

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

48572064 is a wasteful number, since it uses less digits than its factorization.

48572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48572064 is about 6969.3661117780. The cubic root of 48572064 is about 364.8621835363.

The spelling of 48572064 in words is "forty-eight million, five hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 883 1146 1528 1719 1766 2292 2649 3056 3438 3532 4584 5298 6112 6876 7064 7947 9168 10596 13752 14128 15894 18336 21192 27504 28256 31788 42384 55008 63576 84768 127152 168653 254304 337306 505959 674612 1011918 1349224 1517877 2023836 2698448 3035754 4047672 5396896 6071508 8095344 12143016 16190688 24286032 48572064