Search a number
-
+
48314574 = 23271123169
BaseRepresentation
bin1011100001001…
…1100011001110
310100220122010200
42320103203032
544332031244
64443314330
71124444550
oct270234316
9110818120
1048314574
11252aa500
121421b9a6
13a018209
1465b94d0
154395669
hex2e138ce

48314574 has 72 divisors (see below), whose sum is σ = 131542320. Its totient is φ = 12545280.

The previous prime is 48314533. The next prime is 48314599. The reversal of 48314574 is 47541384.

48314574 is a `hidden beast` number, since 4 + 83 + 1 + 4 + 574 = 666.

48314574 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 13662 + ... + 16830.

Almost surely, 248314574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48314574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65771160).

48314574 is an abundant number, since it is smaller than the sum of its proper divisors (83227746).

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

48314574 is a wasteful number, since it uses less digits than its factorization.

48314574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3192 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 48314574 is about 6950.8685788180. The cubic root of 48314574 is about 364.2163056425.

The spelling of 48314574 in words is "forty-eight million, three hundred fourteen thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 3169 5082 6338 7623 9507 15246 19014 22183 28521 34859 44366 57042 66549 69718 104577 133098 199647 209154 244013 313731 383449 399294 488026 627462 732039 766898 1150347 1464078 2196117 2300694 2684143 3451041 4392234 5368286 6902082 8052429 16104858 24157287 48314574