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48284704 = 2513373137
BaseRepresentation
bin1011100000110…
…0010000100000
310100212010011101
42320030100200
544330102304
64442524144
71124261506
oct270142040
9110763141
1048284704
112528a016
1214206654
13a007740
1465ac676
15438b8a4
hex2e0c420

48284704 has 48 divisors (see below), whose sum is σ = 105173208. Its totient is φ = 21676032.

The previous prime is 48284699. The next prime is 48284707. The reversal of 48284704 is 40748284.

It can be written as a sum of positive squares in 4 ways, for example, as 48274704 + 10000 = 6948^2 + 100^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (48284707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13824 + ... + 16960.

Almost surely, 248284704 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 48284704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52586604).

48284704 is an abundant number, since it is smaller than the sum of its proper divisors (56888504).

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

48284704 is a wasteful number, since it uses less digits than its factorization.

48284704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 48284704 is about 6948.7195942850. The cubic root of 48284704 is about 364.1412324787.

The spelling of 48284704 in words is "forty-eight million, two hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3137 3848 6274 7696 12548 15392 25096 40781 50192 81562 100384 116069 163124 232138 326248 464276 652496 928552 1304992 1508897 1857104 3017794 3714208 6035588 12071176 24142352 48284704