Search a number
-
+
48062112 = 2537371933
BaseRepresentation
bin1011011101010…
…1111010100000
310100102210211020
42313111322200
544300441422
64434045440
71122343530
oct267257240
9110383736
1048062112
112514785a
1214119880
139c5a327
1465514c0
15434595c
hex2dd5ea0

48062112 has 96 divisors (see below), whose sum is σ = 148159872. Its totient is φ = 13353984.

The previous prime is 48062107. The next prime is 48062123. The reversal of 48062112 is 21126084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×480621123 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23898 + ... + 25830.

It is an arithmetic number, because the mean of its divisors is an integer number (1543332).

Almost surely, 248062112 is an apocalyptic number.

48062112 is a gapful number since it is divisible by the number (42) 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 48062112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74079936).

48062112 is an abundant number, since it is smaller than the sum of its proper divisors (100097760).

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

48062112 is a wasteful number, since it uses less digits than its factorization.

48062112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48062112 is about 6932.6843285988. The cubic root of 48062112 is about 363.5808079370.

Adding to 48062112 its reverse (21126084), we get a palindrome (69188196).

The spelling of 48062112 in words is "forty-eight million, sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 1933 2072 3108 3552 3866 4144 5799 6216 7732 8288 11598 12432 13531 15464 23196 24864 27062 30928 40593 46392 54124 61856 71521 81186 92784 108248 143042 162372 185568 214563 216496 286084 324744 429126 432992 500647 572168 649488 858252 1001294 1144336 1298976 1501941 1716504 2002588 2288672 3003882 3433008 4005176 6007764 6866016 8010352 12015528 16020704 24031056 48062112