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48732064 = 2517293089
BaseRepresentation
bin1011100111100…
…1011110100000
310101200211211021
42321321132200
544433411224
64500255224
71131133663
oct271713640
9111624737
1048732064
1125565137
12143a1514
13a133254
1466876da
1544291e4
hex2e797a0

48732064 has 48 divisors (see below), whose sum is σ = 105121800. Its totient is φ = 22134784.

The previous prime is 48732049. The next prime is 48732109. The reversal of 48732064 is 46023784.

It can be written as a sum of positive squares in 4 ways, for example, as 48720400 + 11664 = 6980^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14232 + ... + 17320.

Almost surely, 248732064 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 48732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52560900).

48732064 is an abundant number, since it is smaller than the sum of its proper divisors (56389736).

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

48732064 is a wasteful number, since it uses less digits than its factorization.

48732064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 48732064 is about 6980.8354800840. The cubic root of 48732064 is about 365.2623721850.

The spelling of 48732064 in words is "forty-eight million, seven hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3089 3944 6178 7888 12356 15776 24712 49424 52513 89581 98848 105026 179162 210052 358324 420104 716648 840208 1433296 1522877 1680416 2866592 3045754 6091508 12183016 24366032 48732064