Search a number
-
+
48026016 = 25321031619
BaseRepresentation
bin1011011100110…
…1000110100000
310100100222022100
42313031012200
544243313031
64433210400
71122133353
oct267150640
9110328270
1048026016
1125122725
1214100a00
139c46a7c
14654229a
154339de6
hex2dcd1a0

48026016 has 72 divisors (see below), whose sum is σ = 137985120. Its totient is φ = 15843456.

The previous prime is 48025993. The next prime is 48026051. The reversal of 48026016 is 61062084.

It is a tau number, because it is divible by the number of its divisors (72).

48026016 is a modest number, since divided by 26016 gives 480 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28855 + ... + 30473.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 248026016 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 48026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560).

48026016 is an abundant number, since it is smaller than the sum of its proper divisors (89959104).

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

48026016 is a wasteful number, since it uses less digits than its factorization.

48026016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48026016 is about 6930.0805190127. The cubic root of 48026016 is about 363.4897653318.

The spelling of 48026016 in words is "forty-eight million, twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1619 1648 1854 2472 3238 3296 3708 4857 4944 6476 7416 9714 9888 12952 14571 14832 19428 25904 29142 29664 38856 51808 58284 77712 116568 155424 166757 233136 333514 466272 500271 667028 1000542 1334056 1500813 2001084 2668112 3001626 4002168 5336224 6003252 8004336 12006504 16008672 24013008 48026016