Search a number
-
+
48076224 = 263735771
BaseRepresentation
bin1011011101100…
…1010111000000
310100110112011220
42313121113000
544301414344
64434235040
71122432630
oct267312700
9110415156
1048076224
1125157419
1214125a80
139c63891
1465566c0
154349c19
hex2dd95c0

48076224 has 56 divisors (see below), whose sum is σ = 145377408. Its totient is φ = 13735680.

The previous prime is 48076201. The next prime is 48076241. The reversal of 48076224 is 42267084.

48076224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×480762243 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16542 + ... + 19229.

Almost surely, 248076224 is an apocalyptic number.

It is an amenable number.

48076224 is an abundant number, since it is smaller than the sum of its proper divisors (97301184).

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

48076224 is a wasteful number, since it uses less digits than its factorization.

48076224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35793 (or 35783 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 48076224 is about 6933.7020414783. The cubic root of 48076224 is about 363.6163893271.

The spelling of 48076224 in words is "forty-eight million, seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 35771 71542 107313 143084 214626 250397 286168 429252 500794 572336 751191 858504 1001588 1144672 1502382 1717008 2003176 2289344 3004764 3434016 4006352 6009528 6868032 8012704 12019056 16025408 24038112 48076224