Search a number
-
+
48084864 = 273125221
BaseRepresentation
bin1011011101101…
…1011110000000
310100110222000220
42313123132000
544302203424
64434343040
71122500052
oct267333600
9110428026
1048084864
1125162963
121412aa80
139c677a9
1465598d2
15434c579
hex2ddb780

48084864 has 32 divisors (see below), whose sum is σ = 127726440. Its totient is φ = 16028160.

The previous prime is 48084853. The next prime is 48084889. The reversal of 48084864 is 46848084.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×480848643 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62227 + ... + 62994.

Almost surely, 248084864 is an apocalyptic number.

It is an amenable number.

48084864 is an abundant number, since it is smaller than the sum of its proper divisors (79641576).

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

48084864 is a wasteful number, since it uses less digits than its factorization.

48084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125238 (or 125226 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 48084864 is about 6934.3250572785. The cubic root of 48084864 is about 363.6381704153.

The spelling of 48084864 in words is "forty-eight million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 125221 250442 375663 500884 751326 1001768 1502652 2003536 3005304 4007072 6010608 8014144 12021216 16028288 24042432 48084864