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48516864 = 283115743
BaseRepresentation
bin1011100100010…
…0111100000000
310101021220121220
42321010330000
544410014424
64451515040
71126246404
oct271047400
9111256556
1048516864
1125428490
12142b8a80
13a089306
14662d104
1543d5579
hex2e44f00

48516864 has 72 divisors (see below), whose sum is σ = 140888832. Its totient is φ = 14699520.

The previous prime is 48516851. The next prime is 48516883. The reversal of 48516864 is 46861584.

It is a congruent number.

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, 5577 + ... + 11319.

Almost surely, 248516864 is an apocalyptic number.

48516864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70444416).

48516864 is an abundant number, since it is smaller than the sum of its proper divisors (92371968).

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

48516864 is a wasteful number, since it uses less digits than its factorization.

48516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5759 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 48516864 is about 6965.4047979999. The cubic root of 48516864 is about 364.7239145723.

The spelling of 48516864 in words is "forty-eight million, five hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 5743 8448 11486 17229 22972 34458 45944 63173 68916 91888 126346 137832 183776 189519 252692 275664 367552 379038 505384 551328 735104 758076 1010768 1102656 1470208 1516152 2021536 2205312 3032304 4043072 4410624 6064608 8086144 12129216 16172288 24258432 48516864